{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "133aae03-654e-44cf-9cf6-f8698f7814a9",
   "metadata": {},
   "source": [
    "# 前言\n",
    "区别于其他信息分析与预测课程，本课首先介绍信息可视化的基础知识，而后开展其他教学，\n",
    "\n",
    "这是因为，数据分析可以说是从可视化开始，到可视化结束。初始阶段，我们需要对数据进行可视化探查，了解其基本的情况，再结合需求，指定数据清洗，信息分析方案。\n",
    "\n",
    "在完成数据分析后，向用户提交报告阶段，可视化附加文字能够为用户提供丰富、直观的解释。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "96260875-b236-4a52-a109-3cf2240555eb",
   "metadata": {},
   "source": [
    "# 课程结构"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c0bba821-67f8-4215-bfb1-77bfe750e106",
   "metadata": {},
   "source": [
    "# 可视化理论\n",
    "\n",
    "相关可视化理论常见：\n",
    "[\n",
    "《可视化理论》](https://shimo.im/files/gO3ox4jvbMUrB2qD/ )\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "494e7518-2b4b-405d-9e6d-df79a1e11e90",
   "metadata": {},
   "source": [
    "# 实践操作"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "12f44a65-6d26-41cf-a409-d5b26fabf8ae",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-14T02:03:01.834503Z",
     "iopub.status.busy": "2022-03-14T02:03:01.833782Z",
     "iopub.status.idle": "2022-03-14T02:03:03.500413Z",
     "shell.execute_reply": "2022-03-14T02:03:03.499423Z",
     "shell.execute_reply.started": "2022-03-14T02:03:01.834470Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Looking in indexes: https://pypi.tuna.tsinghua.edu.cn/simple\n",
      "Requirement already satisfied: seaborn in /opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages (0.10.0)\n",
      "Requirement already satisfied: numpy>=1.13.3 in /opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages (from seaborn) (1.19.5)\n",
      "Requirement already satisfied: scipy>=1.0.1 in /opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages (from seaborn) (1.3.0)\n",
      "Requirement already satisfied: matplotlib>=2.1.2 in /opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages (from seaborn) (2.2.3)\n",
      "Requirement already satisfied: pandas>=0.22.0 in /opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages (from seaborn) (1.1.5)\n",
      "Requirement already satisfied: python-dateutil>=2.1 in /opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages (from matplotlib>=2.1.2->seaborn) (2.8.2)\n",
      "Requirement already satisfied: pytz in /opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages (from matplotlib>=2.1.2->seaborn) (2019.3)\n",
      "Requirement already satisfied: cycler>=0.10 in /opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages (from matplotlib>=2.1.2->seaborn) (0.10.0)\n",
      "Requirement already satisfied: kiwisolver>=1.0.1 in /opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages (from matplotlib>=2.1.2->seaborn) (1.1.0)\n",
      "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages (from matplotlib>=2.1.2->seaborn) (3.0.7)\n",
      "Requirement already satisfied: six>=1.10 in /opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages (from matplotlib>=2.1.2->seaborn) (1.16.0)\n",
      "Requirement already satisfied: setuptools in /opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages (from kiwisolver>=1.0.1->matplotlib>=2.1.2->seaborn) (41.4.0)\n",
      "\u001b[33mWARNING: You are using pip version 21.3.1; however, version 22.0.4 is available.\n",
      "You should consider upgrading via the '/opt/conda/envs/python35-paddle120-env/bin/python -m pip install --upgrade pip' command.\u001b[0m\n"
     ]
    }
   ],
   "source": [
    "!pip install seaborn"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7463d6f4-2609-4c71-99bf-0883f2ef959d",
   "metadata": {},
   "source": [
    "## Matplotlib应用\n",
    "### Matplolib简介\n",
    "\n",
    "理解Matplotlib，或者理解python中可视化操作，可以视其为一个个套娃，或者画一幅油画，不同的可视化对象层层叠叠，构成了最终的可视化图像。\n",
    "\n",
    "在Matplotlib中，一幅可视化图由以下几个对象构成：\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d1e881e-4d4c-4aa5-a3ba-422014bf7999",
   "metadata": {},
   "source": [
    "##  \n",
    "[基础构成Pyplot](https://www.runoob.com/matplotlib/matplotlib-pyplot.html)\n",
    "是 Matplotlib 的子库，提供了和 MATLAB 类似的绘图 API。\n",
    "\n",
    "Pyplot 是常用的绘图模块，能很方便让用户绘制 2D 图表。\n",
    "\n",
    "Pyplot 包含一系列绘图函数的相关函数，每个函数会对当前的图像进行一些修改，例如：给图像加上标记，生新的图像，在图像中产生新的绘图区域等等。\n",
    "\n",
    "使用的时候，我们可以使用 import 导入 pyplot 库，并设置一个别名 plt：\n",
    "\n",
    "使用pyplot我们可以直接绘制简单的点、线、柱状图、面积图、散点图等\n",
    "plt.bar()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "45fa54f9-1ff3-4b3d-aefb-aff489aff505",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-10T07:05:22.800796Z",
     "iopub.status.busy": "2022-03-10T07:05:22.799867Z",
     "iopub.status.idle": "2022-03-10T07:05:23.250952Z",
     "shell.execute_reply": "2022-03-10T07:05:23.250254Z",
     "shell.execute_reply.started": "2022-03-10T07:05:22.800760Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### 点和线####\n",
    "import matplotlib.pyplot as plt\n",
    "x=6\n",
    "y=3\n",
    "plt.plot(x,y,'o')\n",
    "plt.show()\n",
    "\n",
    "x=[6,10]\n",
    "y=[3,7]\n",
    "\n",
    "plt.plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "77f19bc3-cc8a-48a9-b9b4-f62aebff87d0",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "99a78817-24fd-464e-966d-2471d1f82bf4",
   "metadata": {},
   "source": [
    "## Matplotlib中对象以及绘图步骤\n",
    "虽然直接使用pyplot中plot方法可以快速绘制图像，但是当遇到更为复杂的图形，或者希望进行细致的操作的时候，就需要按照步骤，一步步设置不同的对象。在此过程中，结合matplotlib的结构，就可以展现精美的可视化结果。\n",
    "![](https://ai-studio-static-online.cdn.bcebos.com/663b9e07d4c840b49b1499357c3f3f78a0511962c68c45598ec99bc8ff2faae7)\n",
    "\n",
    "Matpltlib中主要包含以下重要的对象：\n",
    "\n",
    "1. **figure**\n",
    "\n",
    "整个图形即是一个figure对象。figure对象至少包含一个子图，也就是axes对象。figure对象包含一些特殊的artist对象，如图名（title）、图例（legend）。\n",
    "\n",
    "2. **axes**\n",
    "\n",
    "axes又称为子图对象，其中每一个子图都包含一个x轴和一个y轴。\n",
    "\n",
    "常用方法：set_xlim（）及set_ylim（）——设置子图X轴和Y轴对应的数据范围；set_title（）——设置子图的图名；set_xlabel（）以及set_ylable（）——设置子图X轴和Y轴名。在绘制多个子图时，需要使用axes对象。\n",
    "\n",
    "3. **axis轴**\n",
    "\n",
    "有刻度的spines边线称为轴。水平的是x轴，垂直的是y轴。每个轴每一个都是由一个spines轴线，主刻度、次刻度、主刻度标签、次刻度标签和一个轴标签组成。\n",
    "\n",
    "4. **spines轴线**\n",
    "\n",
    "Spines是连接轴刻度线和数据区域边界的轴线。它们可以被放置在任意位置，可以选择展示或隐藏它们。每个axes轴通常由四条边(左、上、右、下)包围，称为spines。每一根spines上都可以装饰有主刻度和次刻度(可以指向内部或外部)、刻度标签和标签。默认情况下，matplotlib只装饰左边和下面的spines边框。\n",
    "\n",
    "5. **tick刻度** \n",
    "\n",
    "6. **legend grid title**\n",
    "图例，网格，及标题\n",
    "\n",
    "7. **style风格**\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f9ad4f49-0567-4696-9c1b-a3a644b8269f",
   "metadata": {},
   "source": [
    "### step1 创建figure,axes对象\n",
    "\n",
    "在matplotlib中，相关创建figure方法有很多，这里我们主要介绍subplots方法\n",
    "> 背景介绍\n",
    "\n",
    "\n",
    "注意在创建多个对象时，我门在subplots函数中指定其子图的个数，与位置。\n",
    "\n",
    "创建figure及axes->设置figure大小size-->设置axes的xy轴范围\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "abe74c2c-6b2d-4e43-89b2-6b15757e0afe",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-14T07:42:22.431878Z",
     "iopub.status.busy": "2022-03-14T07:42:22.431356Z",
     "iopub.status.idle": "2022-03-14T07:42:23.821442Z",
     "shell.execute_reply": "2022-03-14T07:42:23.820090Z",
     "shell.execute_reply.started": "2022-03-14T07:42:22.431836Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>time</th>\n",
       "      <th>china</th>\n",
       "      <th>usa</th>\n",
       "      <th>king</th>\n",
       "      <th>japan</th>\n",
       "      <th>russia</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>241.000000</td>\n",
       "      <td>241.000000</td>\n",
       "      <td>241.000000</td>\n",
       "      <td>241.000000</td>\n",
       "      <td>241.000000</td>\n",
       "      <td>241.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>1920.000000</td>\n",
       "      <td>3906.327801</td>\n",
       "      <td>19019.580913</td>\n",
       "      <td>14975.016598</td>\n",
       "      <td>11803.473029</td>\n",
       "      <td>9165.580913</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>69.714896</td>\n",
       "      <td>7897.060024</td>\n",
       "      <td>20966.605026</td>\n",
       "      <td>14186.285966</td>\n",
       "      <td>15780.652526</td>\n",
       "      <td>10130.108008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1800.000000</td>\n",
       "      <td>560.000000</td>\n",
       "      <td>1965.000000</td>\n",
       "      <td>3043.000000</td>\n",
       "      <td>1009.000000</td>\n",
       "      <td>1365.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>1860.000000</td>\n",
       "      <td>735.000000</td>\n",
       "      <td>3354.000000</td>\n",
       "      <td>4926.000000</td>\n",
       "      <td>1116.000000</td>\n",
       "      <td>1831.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>1920.000000</td>\n",
       "      <td>785.000000</td>\n",
       "      <td>8134.000000</td>\n",
       "      <td>7973.000000</td>\n",
       "      <td>2620.000000</td>\n",
       "      <td>3415.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>1980.000000</td>\n",
       "      <td>1078.000000</td>\n",
       "      <td>29523.000000</td>\n",
       "      <td>20733.000000</td>\n",
       "      <td>21614.000000</td>\n",
       "      <td>15604.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>2040.000000</td>\n",
       "      <td>34823.000000</td>\n",
       "      <td>79957.000000</td>\n",
       "      <td>56528.000000</td>\n",
       "      <td>55158.000000</td>\n",
       "      <td>39276.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              time         china           usa          king         japan  \\\n",
       "count   241.000000    241.000000    241.000000    241.000000    241.000000   \n",
       "mean   1920.000000   3906.327801  19019.580913  14975.016598  11803.473029   \n",
       "std      69.714896   7897.060024  20966.605026  14186.285966  15780.652526   \n",
       "min    1800.000000    560.000000   1965.000000   3043.000000   1009.000000   \n",
       "25%    1860.000000    735.000000   3354.000000   4926.000000   1116.000000   \n",
       "50%    1920.000000    785.000000   8134.000000   7973.000000   2620.000000   \n",
       "75%    1980.000000   1078.000000  29523.000000  20733.000000  21614.000000   \n",
       "max    2040.000000  34823.000000  79957.000000  56528.000000  55158.000000   \n",
       "\n",
       "             russia  \n",
       "count    241.000000  \n",
       "mean    9165.580913  \n",
       "std    10130.108008  \n",
       "min     1365.000000  \n",
       "25%     1831.000000  \n",
       "50%     3415.000000  \n",
       "75%    15604.000000  \n",
       "max    39276.000000  "
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "###获取中国gdp数据\n",
    "data=pd.read_csv(\"data/line_animation.csv\")\n",
    " \n",
    "year=data['time']\n",
    "china=data['china']\n",
    "usa=data['usa']\n",
    "data.describe()\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "id": "9139af94-a6d8-4bc2-911f-3e5be7f36471",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-11T04:10:43.128309Z",
     "iopub.status.busy": "2022-03-11T04:10:43.127351Z",
     "iopub.status.idle": "2022-03-11T04:10:43.134121Z",
     "shell.execute_reply": "2022-03-11T04:10:43.133516Z",
     "shell.execute_reply.started": "2022-03-11T04:10:43.128273Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "time       1979\n",
       "china      1064\n",
       "usa       29864\n",
       "king      21085\n",
       "japan     21165\n",
       "russia    19536\n",
       "Name: 179, dtype: int64"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.iloc[179,:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a5cd9d85-afc4-4e7a-b1cf-30dc81a6ceb4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-14T08:08:42.595733Z",
     "iopub.status.busy": "2022-03-14T08:08:42.594375Z",
     "iopub.status.idle": "2022-03-14T08:08:43.019784Z",
     "shell.execute_reply": "2022-03-14T08:08:43.018973Z",
     "shell.execute_reply.started": "2022-03-14T08:08:42.595663Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fbca39cec10>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#创建figure与axes对象\n",
    "fig,axes=plt.subplots(1,1)\n",
    "#设定figure图的大小\n",
    "fig.set_size_inches(8,10)\n",
    "\n",
    "#设定axesx轴y轴的数值范围\n",
    "axes.set_xlim(1800,2040)\n",
    "axes.set_ylim(0,40000)\n",
    "###基于plot方法绘图\n",
    "axes.plot(year,china,color='red')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f201d328-f03c-41b7-8630-83042af70ac6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-14T08:24:44.241395Z",
     "iopub.status.busy": "2022-03-14T08:24:44.240157Z",
     "iopub.status.idle": "2022-03-14T08:24:44.782341Z",
     "shell.execute_reply": "2022-03-14T08:24:44.740735Z",
     "shell.execute_reply.started": "2022-03-14T08:24:44.241316Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fbad80f2490>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#创建figure对象以及对象包含的多个子图\n",
    "fig2,axes2=plt.subplots(2,2)\n",
    "fig2.set_size_inches(5,5)\n",
    "ax1=axes2[0,0]\n",
    "ax1.set_title(\"china\")# 给第一个图副值titile\n",
    "#我们单独给第一个图的x轴y轴设置了不同的数值范围\n",
    "ax1.set_xlim([1800,2040])\n",
    "ax1.set_ylim([0,80000])\n",
    "ax1.plot(year,china,color='red')\n",
    "#定义第三个字图\n",
    "ax2=axes2[1,0]\n",
    "ax2.set_title(\"usa\")\n",
    "ax2.set_xlim([1800,2040])\n",
    "ax2.set_ylim([0,80000])\n",
    "ax2.plot(year,usa,color='blue')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dbca9375-119e-4f15-b62b-a6f4542b9671",
   "metadata": {},
   "source": [
    "课堂作业：\n",
    "在第二个，第四个子图中绘制日本，俄国的gdp曲线图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9276914-d7df-4118-9065-3c12207a5162",
   "metadata": {},
   "source": [
    "### step2 设置axis轴，以及spines轴线\n",
    "1. 轴axis的设置\n",
    "\n",
    "之前我们已经使用set_xlim(),set_ylim()函数进行x、y轴的数值范围设置，在世纪操作中，还能对其进行进一步的修改以满足需求，包括：\n",
    "* plt.axis([xmin,xmax,ymin,ymax])：与set_xlim(),set_ylim（）同样效果，指定xy轴的值范围\n",
    "* set_ylabel(\"y轴文字\"),set_xlabel(\"x轴文字\")\n",
    "* plt.axis('equal) 设置x与y轴使用相同的长度单位\n",
    "* plt.axis('tight') 将坐标轴压缩到刚好足够绘制折线图像的大小\n",
    "\n",
    "----\n",
    "2. spines 轴线设置\n",
    "\n",
    "图形的轴线可以通过坐标轴属性ax.spines设置，最常见的设置方法是选择隐藏，通过属性['top', 'bottom', 'left', 'right']分别设置上下左右的轴线。轴线的设置在画坐标系图时尤其有用。\n",
    "* axes.spines.right.set_visible(False)：设置右边的轴线不可见\n",
    "* axes.spines.right.set_position(参数,num)：参赛：data:移动轴的位置到交叉轴的指定坐标   axes:0.0 - 1.0之间的值，整个轴上的比例   \n",
    " \n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "60128dc0-c9d4-4e09-9589-247946ba09f5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-11T01:14:53.354444Z",
     "iopub.status.busy": "2022-03-11T01:14:53.353312Z",
     "iopub.status.idle": "2022-03-11T01:14:53.656210Z",
     "shell.execute_reply": "2022-03-11T01:14:53.655529Z",
     "shell.execute_reply.started": "2022-03-11T01:14:53.354409Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages/matplotlib/cbook/__init__.py:2064: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version.  Convert to a numpy array before indexing instead.\n",
      "  x[:, None]\n",
      "/opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages/matplotlib/axes/_base.py:248: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version.  Convert to a numpy array before indexing instead.\n",
      "  x = x[:, np.newaxis]\n",
      "/opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages/matplotlib/axes/_base.py:250: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version.  Convert to a numpy array before indexing instead.\n",
      "  y = y[:, np.newaxis]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5,0,'年')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#创建figure与axes对象\n",
    "fig,axes=plt.subplots()\n",
    "#设定figure图的大小\n",
    "fig.set_size_inches(10,10)\n",
    "axes.set_title(\"The GPD of China\")\n",
    "#设定axesx轴y轴的数值范围\n",
    "#axes.set_xlim(1800,2040)\n",
    "#axes.set_ylim(0,40000)\n",
    "axes.axis([1800,2040,0,40000])\n",
    "###基于plot方法绘图\n",
    "axes.plot(year,china)\n",
    "axes.axis('tight')\n",
    "#axes.axis('equal')\n",
    "axes.set_ylabel(\"人均GDP美元\",fontproperties=myfont)\n",
    "axes.set_xlabel(\"年\",fontproperties=myfont)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "ad3d45c7-3dc2-413b-9db7-63d13c861b4a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-10T13:09:13.415055Z",
     "iopub.status.busy": "2022-03-10T13:09:13.414539Z",
     "iopub.status.idle": "2022-03-10T13:09:13.555214Z",
     "shell.execute_reply": "2022-03-10T13:09:13.554452Z",
     "shell.execute_reply.started": "2022-03-10T13:09:13.415024Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制sin函数，并通过调整spines来得到标准坐标轴\n",
    "import numpy as np \n",
    "x=np.linspace(-2*np.pi,2*np.pi,200)\n",
    "y=np.sin(x)\n",
    "fig3,axes3=plt.subplots()\n",
    "axes3.plot(x,y)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "c949bb44-738d-4df8-961c-8f2b0c26d2be",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-11T01:16:08.404718Z",
     "iopub.status.busy": "2022-03-11T01:16:08.404407Z",
     "iopub.status.idle": "2022-03-11T01:16:08.644884Z",
     "shell.execute_reply": "2022-03-11T01:16:08.644082Z",
     "shell.execute_reply.started": "2022-03-11T01:16:08.404688Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### 通过设置spines，将上面的sin图进行修饰\n",
    "import numpy as np \n",
    "x=np.linspace(-2*np.pi,2*np.pi,200)\n",
    "y=np.sin(x)\n",
    "fig3,axes3=plt.subplots()\n",
    "axes3.plot(x,y)\n",
    "axes3.spines['top'].set_visible(False)\n",
    "axes3.spines['right'].set_visible(False)\n",
    "axes3.spines['left'].set_position(('data',0))\n",
    "axes3.spines['bottom'].set_position(('data',0))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8fb0d09e-e812-4ff1-8b54-0f29facbe1f1",
   "metadata": {},
   "source": [
    "### step3 网格及箭头\n",
    "\n",
    "1.**网格** \n",
    "\n",
    " 图表网格属于图形配置的一种。网格可以辅助读者更好直观地量化图形\n",
    " ```python\n",
    " Axes.grid(b=None, which='major',axis='both', alpha=num,**kwargs)\n",
    " ```\n",
    " 参数：\n",
    "*  b：是否显示网格线。布尔值或None，可选参数。如果没有关键字参数，则b为True，如果b为None且没有关键字参数，相当于切换网格线的可见性。\n",
    "* which：网格线显示的尺度。字符串，可选参数，取值范围为{'major', 'minor', 'both'}，默认为'major'。'major'为主刻度、'minor'为次刻度。没有输入的方向则不会显示网格刻度。\n",
    "* axis：选择网格线显示的轴。字符串，可选参数，取值范围为{'both', 'x', 'y'}，默认为'both'。\n",
    "* **kwargs：Line2D线条对象属性。 \n",
    "* color :设置网格线的颜色。或者直接用c来代替color也可以。\n",
    "* linestyle : 也可以用ls来代替linestyle， 设置网格线的风格，是连续实线，虚线或者其它不同的线条。| '-' | '--' | '-.' | ':' | 'None' | ' ' | ''|\n",
    "* linewidth : 设置网格线的宽度\n",
    "* zorder： 设置层次顺序\n",
    "* alpha: 透明度\n",
    "---\n",
    "2.**箭头**\n",
    "\n",
    "为表示向量方向，图像指向等我们常常用到箭头。\n",
    "arrow()函数的作用是向子图中添加箭头。\n",
    "\n",
    "函数的签名为matplotlib.pyplot.arrow(x, y, dx, dy, **kwargs)。\n",
    "函数的参数为：\n",
    "\n",
    "* x, y：箭头尾部的坐标。类型为浮点数。必备参数。\n",
    "* dx, dy：箭头在xy方向的长度。类型为浮点数。必备参数。\n",
    "* width：箭头尾部的宽度。类型为浮点数，默认值为0.001。\n",
    "* head_width：完全箭头头部的宽度。类型为浮点数或None，默认值为3*width。\n",
    "* head_length：完全箭头头部的长度。类型为浮点数或None，默认值为1.5*head_width。\n",
    "* length_includes_head：长度是否包含箭头。类型为布尔值，默认值为False。\n",
    "* shape：箭头的形状，分为全箭头、左半箭头和右半箭头。取值范围为{'full', 'left', 'right'}，默认值为'full'。\n",
    "* overhang：箭头头部尾角的倾斜系数（小数）。类型为浮点数，值可为负值或大于1，默认值为0，即箭头头部为三角形。\n",
    "* head_starts_at_zero：箭头头部的起始位置。类型为布尔值，默认值为False。当值为True时，箭头头部从0坐标开始绘制，当值为False时，箭头尾部从0坐标开始绘制。\n",
    "* **kwargs：Patch对象属性。\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "f9e7674b-c3d1-45ba-875e-b4b366fcd9ff",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-11T01:57:52.368705Z",
     "iopub.status.busy": "2022-03-11T01:57:52.367745Z",
     "iopub.status.idle": "2022-03-11T01:57:52.729067Z",
     "shell.execute_reply": "2022-03-11T01:57:52.728398Z",
     "shell.execute_reply.started": "2022-03-11T01:57:52.368671Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.patches.FancyArrow at 0x7fa217b69350>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x792 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### 通过设置spines，将上面的sin图进行修饰\n",
    "import numpy as np \n",
    "x=np.linspace(-2*np.pi,2*np.pi,200)\n",
    "y=np.sin(x)\n",
    "fig3,axes3=plt.subplots()\n",
    "fig3.set_size_inches(11,11)\n",
    "axes3.set_xlim(-7,7)\n",
    "axes3.set_ylim(-1,1)\n",
    "axes3.plot(x,y)\n",
    "axes3.spines['top'].set_visible(False)\n",
    "axes3.spines['right'].set_visible(False)\n",
    "axes3.spines['left'].set_position(('data',0))\n",
    "axes3.spines['bottom'].set_position(('data',0))\n",
    "# 为图像添加网格\n",
    "axes3.grid(color='gray',linestyle='--',alpha=0.2)\n",
    "# 为x轴，y轴绘制箭头\n",
    "# 绘制x轴箭头\n",
    "axes3.arrow(-7,0,13.8,0,width=0,shape='full',head_width=0.05,head_length=0.2)\n",
    "# 绘制y轴箭头\n",
    "axes3.arrow(0,-1,0,1.97,width=0,shape='full',head_width=0.25,head_length=0.02)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "d0ea36b8-2042-4028-8cf0-b51efbf50172",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-11T02:18:18.906873Z",
     "iopub.status.busy": "2022-03-11T02:18:18.906202Z",
     "iopub.status.idle": "2022-03-11T02:18:19.023855Z",
     "shell.execute_reply": "2022-03-11T02:18:19.023270Z",
     "shell.execute_reply.started": "2022-03-11T02:18:18.906840Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 结合箭头与网格，我们可以很直观第表达线性代数中向量的概念\n",
    " \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 我们使用numpy中的数组来表示向量\n",
    "v = np.array([2,1])\n",
    "\n",
    "# 绘制图像，展现向量的空间表达.\n",
    " \n",
    "fig,axes=plt.subplots()\n",
    "axes.set_xlim(0,3)\n",
    "axes.set_ylim(0,3)\n",
    "axes.grid()\n",
    "axes.arrow(0,0,v[0],v[1],head_length=0.1,head_width=0.1,color='blue')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9f7056b-f876-425d-85ae-1331677295df",
   "metadata": {},
   "source": [
    "### step4 设置刻度 \n",
    "> 参考： 4W字，最强 Matplotlib 实操指南！. Mp. https://mp.weixin.qq.com/s/LXZahHp8SL3o8agr0zsBcw\n",
    "\n",
    "Matplotlib 默认的刻度标志和格式被设计成能满足许多通用场景的需求，但是不会是所有图表的最佳选择。本节会介绍一些调整刻度位置和格式的例子来说明自定义刻度的使用。\n",
    "\n",
    "在介绍例子之前，我们应该加深对 Matplotlib 图表的对象层次的理解。Matplotlib 的设计目标是展示在图表中的所有内容都会表达成为 Python 的对象：例如，回忆前面我们介绍过figure指的是用来展示图表所有内容的方框。每个 Matplotlib 对象也被设计为其子对象的一个容器：例如figure对象中可以包含一个或多个axes对象，每个axes对象都依次包含着其他用来展示图表的内容对象。\n",
    "\n",
    "刻度也不例外。每个axes对象都有着属性xaxis和yaxis，表示 x 和 y 轴，其中包含着所有的属性用来指代轴的线、刻度和标签。\n",
    "1. **主要刻度和次要刻度**\n",
    "\n",
    "在每个坐标轴上，都有主要的刻度和次要的刻度概念。正如名字指代的，主要刻度通常是大的和更多用到的，而次要刻度通常是小的。默认 Matplotlib 很少使用次要刻度，但是在对数图表中我们可能会看到它们：\n",
    "\n",
    "在 Matplotlib 2.0 之后，当 axis 的跨度过大时，默认次要刻度将会不再展示，因此，下面的代码经过了修改，加上了 xlim 和 ylim 参数。\n",
    "```python\n",
    "axs[0,0].xaxis.set_major_locator(ticker.MultipleLocator(0.5))\n",
    "axs[0,0].xaxis.set_minor_locator(ticker.MultipleLocator(0.1))\n",
    "```\n",
    "其中xaxis代表x轴，yaxis代表y轴，\n",
    "* set_major_locator(self,locator)：定义主要刻度，其中loactor是定位器对应ticker.MultipleLocator(num),num为单位刻度\n",
    "\n",
    "2.** 隐藏刻度和标签**\n",
    "\n",
    "也许最常见的刻度/标签格式设置的操作是隐藏刻度或标签。\n",
    "``` python\n",
    "axes.tick_params(left=False,bottom=False)# 不显示图像的刻度线,但保留数值\n",
    "axes.axis('off')#直接关闭坐标轴的可读性与表情\n",
    "```\n",
    "3. **刻度的其他操作**\n",
    "\n",
    "可以进一步通过matplotlib.axes.Axes.tick_params()来对刻度进行进一步修饰\n",
    "```python\n",
    "Axes.tick_params(axis='both', **kwargs)\n",
    "```\n",
    "\n",
    "参数：\n",
    "* axis : 可选{'x', 'y', 'both'} ，选择对哪个轴操作，默认是'both'\n",
    "* reset : bool，如果为True，则在处理其他参数之前将所有参数设置为默认值。它的默认值为False。\n",
    "* which : 可选{'major', 'minor', 'both'} 选择对主or副坐标轴进行操作\n",
    "* direction/tickdir : 可选{'in', 'out', 'inout'}刻度线的方向\n",
    "* size/length : float, 刻度线的长度\n",
    "* width : float, 刻度线的宽度\n",
    "* color : 刻度线的颜色，我一般用16进制字符串表示，eg：'#EE6363'\n",
    "* pad : float, 刻度线与刻度值之间的距离\n",
    "* labelsize : float/str, 刻度值字体大小\n",
    "* labelcolor : 刻度值颜色\n",
    "* colors : 同时设置刻度线和刻度值的颜色\n",
    "* zorder : float ，Tick and label zorder.\n",
    "* bottom, top, left, right : bool, 分别表示上下左右四边，是否显示刻度线，True为显示\n",
    "* labelbottom, labeltop, labelleft, labelright:bool, 分别表示上下左右四边，是否显示刻度值，True为显示\n",
    "* labelrotation : 刻度值逆时针旋转给定的度数，如20\n",
    "* gridOn: bool ,是否添加网格线；\n",
    "* grid_alpha:float网格线透明度 ；\n",
    "* grid_color: 网格线颜色; \n",
    "* grid_linewidth:float网格线宽度；\n",
    "* grid_linestyle: 网格线型\n",
    "* tick1On, tick2On : bool分别表表示是否显示axis轴的(左/下、右/上)or(主、副)刻度线\n",
    "* label1On,label2On : bool分别表表示是否显示axis轴的(左/下、右/上)or(主、副)刻度值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "0ac1cd9a-73d1-4abb-83ff-978dd29db204",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-11T03:39:43.305300Z",
     "iopub.status.busy": "2022-03-11T03:39:43.304829Z",
     "iopub.status.idle": "2022-03-11T03:39:43.832785Z",
     "shell.execute_reply": "2022-03-11T03:39:43.831919Z",
     "shell.execute_reply.started": "2022-03-11T03:39:43.305266Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.ticker as ticker\n",
    "\n",
    "# 设置主要刻度major和次要刻度minor\n",
    "fig,axs=plt.subplots(2,2)\n",
    "axs[0,0].xaxis.set_major_locator(ticker.MultipleLocator(0.5))#设置x轴主刻度单位为0.5\n",
    "axs[0,0].xaxis.set_minor_locator(ticker.MultipleLocator(0.05))#设置x轴次刻度单位为0.05\n",
    "axs[0,0].yaxis.set_major_locator(ticker.MultipleLocator(0.25))#设置y轴主刻度单位为0.25\n",
    "axs[0,0].yaxis.set_minor_locator(ticker.MultipleLocator(0.05))#设置y轴次刻度单位为0.05\n",
    "axs[0,0].tick_params(which='major',labelcolor='red')#设置主刻度颜色为红色\n",
    "axs[0,0].tick_params(which=\"minor\",labelsize=10)\n",
    "#\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "83b573a9-a14d-4b8c-bdaa-e261d88359f1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-11T03:21:05.187629Z",
     "iopub.status.busy": "2022-03-11T03:21:05.186551Z",
     "iopub.status.idle": "2022-03-11T03:21:05.396713Z",
     "shell.execute_reply": "2022-03-11T03:21:05.393842Z",
     "shell.execute_reply.started": "2022-03-11T03:21:05.187582Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 显示图像，并且去掉刻度值\n",
    "\n",
    "import os\n",
    "from PIL import Image\n",
    "import matplotlib.pyplot as plt\n",
    "img = Image.open('data/bird.jpeg')\n",
    "\n",
    "fig,axes=plt.subplots()\n",
    "axes.imshow(img)\n",
    "#axes.tick_params(left=False,bottom=False)# 不显示图像的刻度线,但保留数值\n",
    "axes.axis('off')#直接关闭坐标轴的可读性与表情\n",
    "plt.show()\n",
    " "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aee47383-3c99-415b-ae7d-a92674870ddf",
   "metadata": {},
   "source": [
    "### step5 设置标题与图例\n",
    "1. **标题**\n",
    "\n",
    "matplotlib中标题包括figure的标题，以及axes子图的标题\n",
    "* figure标题\n",
    "``` python\n",
    "figure.subtitle(\"标题\"）\n",
    "```\n",
    "* 子图标题\n",
    "``` python\n",
    "axes.set_title(\"标题\"）\n",
    "```\n",
    "---\n",
    "2.**图例**\n",
    "\n",
    "通过图例可以说明图中具体图像的含义，这在图包含多个图像时尤其有用。\n",
    "\n",
    "matplotlib有两种方法\n",
    "``` python\n",
    "Axes.legend(*args, **kwargs)\n",
    "```\n",
    "参数：\n",
    "\n",
    " labels：这个参数是在旁边显示的标签列表。\n",
    "\n",
    " \n",
    " \n",
    " loc： 位置参数，常用参数，可以传入位置字符串或位置代码 \n",
    "\n",
    "* 自动显示图例\n",
    "``` python\n",
    "Axes.legend()\n",
    "```\n",
    "* 手动显示图例\n",
    "```\n",
    "Axes.legend(‘说明文字’)\n",
    "```\n",
    ">注意当手动添加图例时候，有时候会显示文本不全，经济方法是在后面加入逗号，例如Axes.legend((‘说明文字’,))\n",
    "\n",
    "> matplotlib对中文支持不佳，需要在系统中附加相应的字体，而在网络ide平台，例如百度studio中设置需要创建相关路径及上传字体，见：\n",
    "[解决方法1](https://blog.csdn.net/qq_42874547/article/details/105313558)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "id": "00339c81-b7da-41f4-b071-208fc89d8349",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-11T04:32:18.543971Z",
     "iopub.status.busy": "2022-03-11T04:32:18.543201Z",
     "iopub.status.idle": "2022-03-11T04:32:19.043471Z",
     "shell.execute_reply": "2022-03-11T04:32:19.042672Z",
     "shell.execute_reply.started": "2022-03-11T04:32:18.543936Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fa2121ef290>"
      ]
     },
     "execution_count": 117,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.font_manager import FontProperties\n",
    "## 中文显示问题\n",
    "myfont=FontProperties(fname=r\"/home/aistudio/external-libraries/微软雅黑.ttf\",size=12)\n",
    "#创建figure对象以及对象包含的多个子图\n",
    "fig2,axes2=plt.subplots(2,2)\n",
    "fig2.set_size_inches(5,5)\n",
    "fig2.suptitle(\"各国GDP\",fontproperties=myfont)\n",
    "ax1=axes2[0,0]\n",
    "ax1.set_title(\"中国\",fontproperties=myfont)# 给第一个图副值titile\n",
    "#我们单独给第一个图的x轴y轴设置了不同的数值范围\n",
    "ax1.set_xlim([1800,2040])\n",
    "ax1.set_ylim([0,80000])\n",
    "ax1.plot(year,china,color='red',label='GDP' )\n",
    "#定义第三个字图\n",
    "ax2=axes2[1,0]\n",
    "ax2.set_title(\"美国\",fontproperties=myfont)\n",
    "ax2.set_xlim([1800,2040])\n",
    "ax2.set_ylim([0,80000])\n",
    "ax2.plot(year,usa,color='blue')\n",
    "# 加入图例\n",
    "ax1.legend()\n",
    "ax2.legend(('the gdp of usa',),loc='right',fontsize=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44787e9d-ff7c-415d-821b-e356187b9298",
   "metadata": {},
   "source": [
    "### setp6 添加注释\n",
    "可以通过annotate函数为图表添加文本注释，并通过箭头指示，从而标注出特殊的信息点。\n",
    "```python\n",
    "Axes.annotate(s, xy, *args, **kwargs,arrowprops=dict())\n",
    "```\n",
    "\n",
    "\n",
    "* s：注释文本的内容\n",
    "* xy：被注释的坐标点，二维元组形如(x,y)\n",
    "* xytext：注释文本的坐标点，也是二维元组，默认与xy相同\n",
    "* xycoords：被注释点的坐标系属性， \n",
    "*arrowprops：箭头的样式，dict（字典）型数据，如果该属性非空，则会在注释文本和被注释点之间画一个箭头。如果不设置'arrowstyle' 关键字，则允许包含以下关键字：\n",
    "  * width\t箭头的宽度（单位是点）\n",
    "  * headwidth\t箭头头部的宽度（点）\n",
    "  * headlength\t箭头头部的长度（点）\n",
    "  * shrink\t箭头两端收缩的百分比（占总长）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "id": "ae9f596d-d420-4920-8fa4-e2c60ff87424",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-11T04:16:22.029251Z",
     "iopub.status.busy": "2022-03-11T04:16:22.028640Z",
     "iopub.status.idle": "2022-03-11T04:16:22.347576Z",
     "shell.execute_reply": "2022-03-11T04:16:22.346768Z",
     "shell.execute_reply.started": "2022-03-11T04:16:22.029219Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(1950,5000,'1979年改革开放')"
      ]
     },
     "execution_count": 116,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画出中国人均GDP折线图，并标注重大事件时间\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "fig,axes=plt.subplots()\n",
    "axes.plot(year,china)\n",
    "axes.minorticks_on()#显示次要刻度\n",
    "axes.xaxis.set_major_locator(ticker.MultipleLocator(50))\n",
    " \n",
    "axes.xaxis.set_minor_locator(ticker.MultipleLocator(10)) \n",
    "axes.annotate('1979年改革开放',xy=(1979,1064),xytext=(1950,5000),arrowprops=dict(facecolor='r',shrink=0.05),fontproperties=myfont)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d02fd3c-e468-41ff-9648-fa31b63e29e2",
   "metadata": {},
   "source": [
    "课堂作业，画出美国的人均GDP时序图，并标识出2008年经济危机"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d66c6fce-6752-457f-bdac-2d4ad881a134",
   "metadata": {},
   "source": [
    "### 背景样式\n",
    "1. 背景颜色\n",
    "\n",
    "我们可以设置两个绘图对象的颜色，figure与axes，相当于对画布底色，和图画底色风暴设置。\n",
    "* figure底色设置：\n",
    "plt.\n",
    "---\n",
    "2. 使用style\n",
    "\n",
    "我们可以直接调用前人定义好的style风格，通过 plt.style.available 命令可以看到所有可用的风格。\n",
    "```python\n",
    "plt.style.avaible[:]# 查看现有系统所有可以用的绘图风格\n",
    "ply.style.use('风格名')#使用某种风格\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4de00437-081c-4c5b-97d6-8f515dff6d7e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-11T07:39:10.713890Z",
     "iopub.status.busy": "2022-03-11T07:39:10.713438Z",
     "iopub.status.idle": "2022-03-11T07:39:11.565717Z",
     "shell.execute_reply": "2022-03-11T07:39:11.564999Z",
     "shell.execute_reply.started": "2022-03-11T07:39:10.713839Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.font_manager import FontProperties\n",
    "## 中文显示问题\n",
    "myfont=FontProperties(fname=r\"/home/aistudio/external-libraries/微软雅黑.ttf\",size=12)\n",
    "#创建figure对象以及对象包含的多个子图\n",
    "fig2,axes2=plt.subplots(2,2)\n",
    "fig2.set_size_inches(12,12)\n",
    " \n",
    "fig2.suptitle(\"各国GDP\",fontproperties=myfont)\n",
    "ax1=axes2[0,0]\n",
    "ax1.set_title(\"中国\",fontproperties=myfont)# 给第一个图副值titile\n",
    "#我们单独给第一个图的x轴y轴设置了不同的数值范围\n",
    "ax1.set_xlim([1800,2040])\n",
    "ax1.set_ylim([0,80000])\n",
    "ax1.plot(year,china,color='red',label='GDP' )\n",
    "#定义第三个字图\n",
    "ax2=axes2[1,0]\n",
    "ax2.set_title(\"美国\",fontproperties=myfont)\n",
    "ax2.set_xlim([1800,2040])\n",
    "ax2.set_ylim([0,80000])\n",
    "ax2.plot(year,usa,color='blue')\n",
    "# 加入图例\n",
    "ax1.legend()\n",
    "ax2.legend(('the gdp of usa',),loc='right',fontsize=12)\n",
    "fig2.subplots_adjust(left=None,hspace=0.5,wspace=0.3)\n",
    "#调用现有的风格\n",
    "plt.style.use('ggplot')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "7b4f96bd-9d18-4dd5-91e5-8234b011cc68",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-11T07:37:01.895224Z",
     "iopub.status.busy": "2022-03-11T07:37:01.894265Z",
     "iopub.status.idle": "2022-03-11T07:37:01.900115Z",
     "shell.execute_reply": "2022-03-11T07:37:01.899550Z",
     "shell.execute_reply.started": "2022-03-11T07:37:01.895188Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['seaborn-ticks',\n",
       " 'seaborn-deep',\n",
       " '_classic_test',\n",
       " 'seaborn-white',\n",
       " 'seaborn-muted',\n",
       " 'tableau-colorblind10',\n",
       " 'fast',\n",
       " 'seaborn-dark-palette',\n",
       " 'seaborn-dark',\n",
       " 'classic',\n",
       " 'seaborn-talk',\n",
       " 'Solarize_Light2',\n",
       " 'seaborn-whitegrid',\n",
       " 'fivethirtyeight',\n",
       " 'seaborn-paper',\n",
       " 'seaborn-bright',\n",
       " 'ggplot',\n",
       " 'grayscale',\n",
       " 'seaborn-pastel',\n",
       " 'seaborn-colorblind',\n",
       " 'seaborn-darkgrid',\n",
       " 'bmh',\n",
       " 'seaborn-poster',\n",
       " 'seaborn',\n",
       " 'dark_background',\n",
       " 'seaborn-notebook']"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.style.available[:]#参看可以使用的风格"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f0a13de1-d78c-487b-b8aa-b6d266a9ea4b",
   "metadata": {},
   "source": [
    "### step7 画布边距调整\n",
    "有时候会发生绘图x轴，y轴与画布间距太近，以及子图之间间距过小，从而文字显示不全的现象。为此，可以使用以下函数进行调整\n",
    "```python\n",
    "Fig.subplots_adjust(left=None,bottom=None,right=None,top=None,wspance=None,hspace=None)\n",
    "```\n",
    "参数说明\n",
    "* right：所有子图整体相对于图像的右外边距，距离单位为图像宽度的比例（小数）。可选参数。浮点数。默认值为0.0。\n",
    "* bottom：所有子图整体相对于图像的下外边距，距离单位为图像高度的比例（小数）。可选参数。浮点数。默认值为0.11。\n",
    "* top：所有子图整体相对于图像的上外边距，距离单位为图像高度的比例（小数）。可选参数。浮点数。默认值为0.88。\n",
    "* wspace：子图间宽度内边距，距离单位为子图平均宽度的比例（小数）。浮点数。默认值为0.2。\n",
    "* hspace：子图间高度内边距，距离单位为子图平均高度的比例（小数）。可选参数。浮点数。默认值为0.2。\n",
    "\n",
    "其中wspace与hspace两个参数主要针对子图调整使用。\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ec94e853-9dce-4d3f-b959-8c29fc712d1d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-11T09:36:31.079395Z",
     "iopub.status.busy": "2022-03-11T09:36:31.078358Z",
     "iopub.status.idle": "2022-03-11T09:36:31.718267Z",
     "shell.execute_reply": "2022-03-11T09:36:31.717288Z",
     "shell.execute_reply.started": "2022-03-11T09:36:31.079355Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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pU1M6RcTmwOHAl8qafwDcHhGjgJnASUX7BOBooIbSDCWnAmTmgoj4NjCl6HdJZi4o1s8AbgC6A38oFkmSJGmT1aSgnZlLgG3XaJtPaRaSNfsmcGYD5xkLjK2nfSqwT1NqkSRJkjYFvhlSkiRJqgCDtiRJklQBBm1JkiSpAgzakiRJUgUYtCVJkqQKMGhLkiRJFWDQliRJkirAoC1JkiRVgEFbkiRJqgCDtiRJklQBBm1JkiSpAgzakqRmi4hhEfFcRNRExLn17N8lIiZFxOMR8UREHF2NOiWpJRm0JUnNEhEdgTHAUcBewMkRsdca3c4Hbs/MQcAI4BctW6UktTyDtiSpufYDajJzRmauAMYBw9fok8CWxfpWwCstWJ8kVUWnahcgSdrk9QJeLtueDey/Rp+Lgf+OiK8AmwOHtUxpklQ93tGWJLWEk4EbMrM3cDRwc0Ss9XdQRIyOiKkRMXXu3LktXqQkbUwGbUlSc80Bdi7b7l20lRsF3A6QmX8FugHbrXmizLw6M4dk5pCePXtWqFxJahkGbUlSc00BBkREv4joQulhx/Fr9JkFHAoQEXtSCtrespbUphm0JUnNkpkrgS8D9wHTKc0u8nREXBIRxxbdvgacFhF/A34NfCEzszoVS1LL8GFISVKzZeYEYMIabReWrT8DfLSl65KkavKOtiRJklQBBm1JkiSpAgzakiRJUgUYtCVJkqQKaFLQjoitI+LOiHg2IqZHxEciYpuImBgRzxc/exR9IyIuj4iaiHgiIvYtO8/Iov/zETGyrH1wRDxZHHN5RMTGv1RJkiSp5TT1jvbPgD9m5h7AhyhN33QucH9mDgDuL7YBjgIGFMto4EqAiNgGuIjSa3n3Ay6qDedFn9PKjhvWvMuSJEmSqqvRoB0RWwEHAdcBZOaKzHwLGA7cWHS7ETiuWB8O3JQlk4GtI2In4EhgYmYuyMw3gYnAsGLflpk5uZhT9aayc0mSJEmbpKbc0e5H6e1d10fE4xFxbURsDuyQma8WfV4DdijWewEvlx0/u2hbV/vsetolSZKkTVZTgnYnYF/gyswcBCzhvWEiABR3oiv+hq+IGB0RUyNi6ty5vrlXkiRJrVdTgvZsYHZmPlxs30kpeL9eDPug+PlGsX8OsHPZ8b2LtnW1966nfS2ZeXVmDsnMIT179mxC6ZIkSVJ1NBq0M/M14OWI2L1oOhR4BhgP1M4cMhK4p1gfD3y+mH1kKLCwGGJyH3BERPQoHoI8Ariv2LcoIoYWs418vuxckiRJ0iapUxP7fQX4VUR0AWYAp1IK6bdHxChgJnBS0XcCcDRQAywt+pKZCyLi28CUot8lmbmgWD8DuAHoDvyhWCRJkqRNVpOCdmZOA4bUs+vQevomcGYD5xkLjK2nfSqwT1NqkSRJkjYFvhlSkiRJqgCDtiRJklQBBm1JkiSpAgzakiRJUgUYtCVJkqQKMGhLkiRJFWDQliRJkirAoC1JkiRVgEFbkiRJqgCDtiRJklQBBm1JkiSpAgzakiRJUgUYtCVJkqQKMGhLkiRJFWDQliRJkirAoC1JkiRVgEFbkiRJqgCDtiRJklQBBm1JkiSpAgzakiRJUgUYtCVJkqQKMGhLkiRJFWDQliRJkiqgSUE7Il6KiCcjYlpETC3atomIiRHxfPGzR9EeEXF5RNRExBMRsW/ZeUYW/Z+PiJFl7YOL89cUx8bGvlBJkiSpJa3PHe1/ycyBmTmk2D4XuD8zBwD3F9sARwEDimU0cCWUgjlwEbA/sB9wUW04L/qcVnbcsA2+IkmSJKkVaM7QkeHAjcX6jcBxZe03ZclkYOuI2Ak4EpiYmQsy801gIjCs2LdlZk7OzARuKjuXJEmStElqatBO4L8j4tGIGF207ZCZrxbrrwE7FOu9gJfLjp1dtK2rfXY97ZIkSdImq1MT+x2QmXMiYntgYkQ8W74zMzMicuOXt7oi5I8G2GWXXSr9cZIkSdIGa9Id7cycU/x8A7ib0hjr14thHxQ/3yi6zwF2Lju8d9G2rvbe9bTXV8fVmTkkM4f07NmzKaVLkiRJVdFo0I6IzSNii9p14AjgKWA8UDtzyEjgnmJ9PPD5YvaRocDCYojJfcAREdGjeAjyCOC+Yt+iiBhazDby+bJzSZIkSZukpgwd2QG4u5hxrxNwa2b+MSKmALdHxChgJnBS0X8CcDRQAywFTgXIzAUR8W1gStHvksxcUKyfAdwAdAf+UCySpE1ERAwDfgZ0BK7NzB/U0+ck4GJKz/38LTM/06JFSlILazRoZ+YM4EP1tM8HDq2nPYEzGzjXWGBsPe1TgX2aUK8kqZWJiI7AGOBwSg+0T4mI8Zn5TFmfAcB5wEcz883imR9JatN8M6Qkqbn2A2oyc0ZmrgDGUZrqtdxpwJhietfaZ34kqU0zaEuSmquh6VvLfQD4QET8b0RMLoaaSFKb1tTp/SRJao5OlN78ezCl2aX+JyL+KTPfKu/kNK6S2hLvaEuSmquh6VvLzQbGZ+Y7mfki8HdKwXs1TuMqqS0xaEuSmmsKMCAi+kVEF2AEpaley/2W0t1sImI7SkNJZrRkkZLU0gzakqRmycyVwJcpvS9hOnB7Zj4dEZdExLFFt/uA+RHxDDAJ+EYxe5UktVmO0ZYkNVtmTqD0HoXytgvL1hM4p1gkqV3wjrYkSZJUAQZtSZIkqQIM2pIkSVIFGLQlSZKkCjBoS5IkSRVg0JYkSZIqwKAtSZIkVYBBW5IkSaoAg7YkSZJUAQZtSZIkqQIM2pIkSVIFGLQlSZKkCjBoS5IkSRVg0JYkSZIqwKAtSZIkVYBBW5IkSaoAg7YkSZJUAU0O2hHRMSIej4h7i+1+EfFwRNRExG0R0aVo71ps1xT7+5ad47yi/bmIOLKsfVjRVhMR5268y5MkSZKqY33uaH8VmF62/UPgsszcDXgTGFW0jwLeLNovK/oREXsBI4C9gWHAL4rw3hEYAxwF7AWcXPSVJEmSNllNCtoR0Rv4OHBtsR3AIcCdRZcbgeOK9eHFNsX+Q4v+w4Fxmfl2Zr4I1AD7FUtNZs7IzBXAuKKvJEmStMlq6h3tnwLfBN4ttrcF3srMlcX2bKBXsd4LeBmg2L+w6F/XvsYxDbVLkiRJm6xGg3ZEHAO8kZmPtkA9jdUyOiKmRsTUuXPnVrscSZIkqUFNuaP9UeDYiHiJ0rCOQ4CfAVtHRKeiT29gTrE+B9gZoNi/FTC/vH2NYxpqX0tmXp2ZQzJzSM+ePZtQuiRJklQdjQbtzDwvM3tnZl9KDzM+kJmfBSYBJxbdRgL3FOvji22K/Q9kZhbtI4pZSfoBA4BHgCnAgGIWky7FZ4zfKFcnSZIkVUmnxrs06N+BcRHxHeBx4Lqi/Trg5oioARZQCs5k5tMRcTvwDLASODMzVwFExJeB+4COwNjMfLoZdUmSJElVt15BOzMfBB4s1mdQmjFkzT7LgU81cPx3ge/W0z4BmLA+tUiSJEmtmW+GlCRJkirAoC1JkiRVgEFbkiRJqgCDtiRJklQBBm1JkiSpAgzakiRJUgUYtCVJkqQKMGhLkiRJFWDQliRJkirAoC1JkiRVgEFbkjbUkiXVrkCS1IoZtCVpQyxaBLvtVu0qJEmtmEFbkjbEpZfCa69VuwpJUitm0Jak9fXqq/CTn8CIEdWuRJLUihm0JWl9XXwxrFwJ3/1utSuRJLViBm1JWh/PPgvXXQennw677lrtaiRJrZhBW5LWxze/CZttBhdcUO1KJEmtnEFbkppq4kT43e/g/POhZ89qV9OqRMSwiHguImoi4tx19DshIjIihrRkfZJUDQZtSWqKlSvh7LNLw0W++tVqV9OqRERHYAxwFLAXcHJE7FVPvy2ArwIPt2yFklQdBm1Jaopf/hKefhp+/GPo2rXa1bQ2+wE1mTkjM1cA44Dh9fT7NvBDYHlLFidJ1WLQlqTGLFgAF14I//IvcNxx1a6mNeoFvFy2PbtoqxMR+wI7Z+bvW7IwSaomg7YkNeY//xPeegt++lOIqHY1m5yI6AD8BPhaE/qOjoipETF17ty5lS9OkirIoC1J6zJ9OowZA6edBh/8YLWraa3mADuXbfcu2mptAewDPBgRLwFDgfH1PRCZmVdn5pDMHNLTB04lbeIM2pK0LuecA5tvDpdcUu1KWrMpwICI6BcRXYARwPjanZm5MDO3y8y+mdkXmAwcm5lTq1OuJLWMRoN2RHSLiEci4m8R8XRE/GfR3i8iHi6mcrqt+HIlIroW2zXF/r5l5zqvaH8uIo4sa2/StFCS1KImTIA//rE0Pnv77atdTauVmSuBLwP3AdOB2zPz6Yi4JCKOrW51klQ9nZrQ523gkMz8R0R0Bv4SEX8AzgEuy8xxEXEVMAq4svj5ZmbuFhEjKD1h/uliqqcRwN7A+4E/RcQHis8YAxxO6QGaKRExPjOf2YjXKUnrZ8WK0nR+AwbAV75S7WpavcycAExYo+3CBvoe3BI1SVK1NXpHO0v+UWx2LpYEDgHuLNpvBGofxR9ebFPsPzQiomgfl5lvZ+aLQA2lKaGaOi2UJLWcyy+Hv/+99ABkly7VrkaStAlq0hjtiOgYEdOAN4CJwAvAW8U/F8LqUznVTfNU7F8IbEvD0z81Oi2UJLWo114rjck++ujSIknSBmhS0M7MVZk5kNKT5PsBe1S0qgY47ZOkFvGtb8Hy5XDZZdWuRJK0CVuvWUcy8y1gEvARYOuIqB3jXT6VU900T8X+rYD5NDz9U2PTQpV/vtM+SaqsKVPg+uvhrLPgAx9ovL8kSQ1oyqwjPSNi62K9O6WHFqdTCtwnFt1GAvcU6+OLbYr9D2RmFu0jillJ+gEDgEdoZFooSWoxmfDVr8IOO8D551e7GknSJq4ps47sBNwYER0pBfPbM/PeiHgGGBcR3wEeB64r+l8H3BwRNcACSsGZYqqn24FngJXAmZm5CiAiaqeF6giMzcynN9oVSlJT3Xsv/PWvcM01sOWW1a5GkrSJi9LN5k3PkCFDcupU33UgaSPJhMGDYeFCePZZ6Ny5SYdFxKOZudYbDtV8fs9Lag2a8z3flDvaktT23XMPPP443HBDk0O2JEnr4ivYJendd+Gii0ovp/nsZ6tdjSSpjfCOtiTdcw888QTcfDN08mtRkrRxeEdbki67DPr2hZNPrnYlkqQ2xKAtqX177DH485/hy1+Gjh2rXY0kqQ0xaEtq337+c9h8cxg1qtqVSJLaGIO2pPZr0SK47bbSkJGtt652NZKkNsagLan9uu02WLrUu9mSpIowaEtqv66/HvbaC/bfv9qVSJLaIIO2pPZp5szS69Y/9zmIqHY1kqQ2yKAtqX26887Sz099qrp1SJLaLIO2pPbpjjtg332hf/9qVyJJaqMM2pLan5kz4eGH4aSTql2JJKkNM2hLan8cNiJJagEGbUntz+23w+DBsOuu1a5EktSGGbQltS8vvQSPPOLdbElSxRm0JbUvDhuRJLUQg7ak9uWOO2DIEIeNSJIqzqAtqf1w2IgkqQUZtCW1H3fcUfpp0JYktQCDtqT2o3bYSL9+1a5EktQOGLQltQ8vvghTpviSGklSizFoS2ofamcbOfHE6tYhSWo3Gg3aEbFzREyKiGci4umI+GrRvk1ETIyI54ufPYr2iIjLI6ImIp6IiH3LzjWy6P98RIwsax8cEU8Wx1weEVGJi5XUjo0bBx/+sMNGJEktpil3tFcCX8vMvYChwJkRsRdwLnB/Zg4A7i+2AY4CBhTLaOBKKAVz4CJgf2A/4KLacF70Oa3suGHNvzRJKjz3HDz2GJx8crUrkSS1I40G7cx8NTMfK9YXA9OBXsBw4Mai243AccX6cOCmLJkMbB0ROwFHAhMzc0FmvglMBIYV+7bMzMmZmcBNZeeSpOb79a8hAj796WpXIklqR9ZrjHZE9AUGAQ8DO2Tmq8Wu14AdivVewMtlh80u2tbVPruedklqvky49VY4+GB4//urXY0kqR1pctCOiPcBvwHOysxF5fuKO9G5kWurr4bRETE1IqbOnTu30h8nqS147DF4/nn4zGeqXYkkqZ1pUtCOiM6UQvavMvOuovn1YtgHxc83ivY5wM5lh/cu2tbV3rue9rVk5tWZOSQzh/Ts2bMppUvj+bLFAAAgAElEQVRq7269FTp3hhNOqHYlkqR2pimzjgRwHTA9M39Stms8UDtzyEjgnrL2zxezjwwFFhZDTO4DjoiIHsVDkEcA9xX7FkXE0OKzPl92LknacKtWlWYbOeoo6NGj8f6SJG1EnZrQ56PA54AnI2Ja0fYt4AfA7RExCpgJ1L4FYgJwNFADLAVOBcjMBRHxbWBK0e+SzFxQrJ8B3AB0B/5QLJLUPPffD6+84rARSVJVNBq0M/MvQEPzWh9aT/8EzmzgXGOBsfW0TwX2aawWSVovY8eW7mQPH17tSiRJ7ZBvhpTUNs2fD3ffDaecAt26VbsaSVI7ZNCW1Db96lewYgWMGlXtSiRJ7ZRBW1LbkwnXXQeDB8OHPlTtaiRJ7ZRBW1Lb8+ij8MQT3s2WJFWVQVtS23PddaVx2SefXO1K2o2IGBYRz0VETUScW8/+cyLimYh4IiLuj4g+1ahTklqSQVtS27J0aeklNSeeCFtvXe1q2oWI6AiMAY4C9gJOjoi91uj2ODAkMz8I3Alc2rJVSlLLM2hLalvuugsWLXLYSMvaD6jJzBmZuQIYB6w2p2JmTsrMpcXmZFZ/I7AktUkGbUlty7XXwq67wkEHVbuS9qQX8HLZ9uyirSGj8MVkktoBg7aktuOZZ+Chh2D0aOjg11trFBGnAEOAHzWwf3RETI2IqXPnzm3Z4iRpI/NvIkltx1VXQefO8K//Wu1K2ps5wM5l272LttVExGHAfwDHZubb9Z0oM6/OzCGZOaRnz54VKVaSWopBW1LbsGQJ3HRT6SFIA1pLmwIMiIh+EdEFGAGML+8QEYOAX1IK2W9UoUZJanEGbUltw7hxsHAh/Nu/VbuSdiczVwJfBu4DpgO3Z+bTEXFJRBxbdPsR8D7gjoiYFhHjGzidJLUZnapdgCRtFFdeCXvvDQccUO1K2qXMnABMWKPtwrL1w1q8KEmqMu9oS9r0TZ5cehvk6adDRLWrkSQJMGhLagt+/OPSy2m+8IVqVyJJUh2DtqRNW01N6SU1//Zv8L73VbsaSZLqGLQlbdouu6w0pd9XvlLtSiRJWo1BW2phs2bNqnYJzbJkyZLVtpcuXcrixYurU8y8eXD99XDKKbDTTtWpQZKkBhi01e499dRTfP/73+fRRx+ta5s1axbHHHMMW265JQMGDOC+++4D4MEHHyQi1lrOOeccABYsWMApp5zCNttsQ+/evbnppptW+6wXXniB/fbbj2XLljVa18qVK1dbaus68MAD13nctddeyw9+8IPV2o455hieffbZxn8xGvH888/zz//8z6xataqu7ZprruGCCy5o9rk3yC9+AcuWwde+Vp3PlyRpHZzeT+3aBz/4QV577TUWLVrEP/3TPwHw7rvv8slPfpKDDz6YW2+9lQkTJvCpT32KF154gYMPPpjMrDt+5cqV7Lzzznz6058G4Itf/CJdu3blhRde4LHHHuP4449n3333ZZ999gHgJz/5CUuWLGHQoEEN1nTggQdyzTXXMHTo0Lq2J598kvnz53PHHXfwsY99bK1jJk6cyNlnnw3Am2++yapVq7jlllvq9s+aNYtjjz2WLl26APDQQw9x+OGHM2vWLFasWMGKFSt4X9n45kWLFtG9e3c6d+7Mpz71Ka688koABgwYwNFHH01NTQ277747AL///e/55je/uR6/6hvJsmXw85/Dxz8Oe+3V8p8vSVJjMnOTXAYPHpxSc02ePDlXrVqVffr0yd/97neZmfncc89l586d8+23367r9y//8i951VVXrXX87373u9x9990zM3Pp0qXZoUOHnDFjRt3+U089Nc8999zMzHzsscdy7733zqVLl9bt//Wvf52jRo1qtM4+ffrk4sWLc7/99stddtkl+/fvn7vssktuv/322b9//1yyZEld32uuuSa///3vr3b8xz/+8Zw+fXq9577jjjty5MiRq7UdeeSROWnSpLrt3/zmN9m/f//s3r179u/fv2656667skuXLtm3b9/V2l999dVGr6nZrroqEzIffLDyn7UOwNRsBd+JbXHxe15Sa9Cc73mHjqhd23///enQYfU/BrXDOqJsPuaePXvyzDPPrHX8jTfeyOc+9zkAVqxYwbvvvlvvcUuWLOGzn/0sY8aMoXv37htU69SpU5k5cyYzZ86kpqaG//qv/+L444+npqaGzTbbrK5fhw4d+MUvfsGgQYPo3r07Q4YM4a9//etqda2vT37yk9TU1NCtWzdqamrqloceeoh99tmHF198kZqaGjp16sSUKVPYcccdN/izmmTVqtKUfh/+MBx0UGU/S5KkDWTQltaw5557suOOO3LBBRewePFi7r//fiZMmLDWQ4ALFizg3nvvrQvaW221Ffvvvz8XXHABb731Fo8++ii33HILS5YsITM566yzeO6559hnn33qlm984xvcddddq7X99Kc/rbeuH//4xyxcuJB58+YBpfHSu+6661r9/vVf/5VZs2YxadIk+vfvz9SpU5k/f37dUI/m6NixY936zJkzufvuu3nrrbeA0r+OLVy4kB49ejT7cxp1552laf3OPdcX1EiSWi3HaEtr6NKlC3fffTenn346P/vZzzjggAM47LDDVhvDDDBu3DiGDh3KLrvsUtf2q1/9itNOO433v//97LPPPhx55JEsWLCA973vfYwePZrvfOc7fPGLX+Sss86qO8ef/vQnrr322rXqGDp0KAsWLKBLly688sorjBgxgj322IMHHniAk046icmTJ/PVr361rv/y5cvp0aNHXaBetWoVL7zwAgMHDqzb7tq1K1OnTuWWW26pq6F2jPa9995bd65Fixbx17/+lc6dOwMwZcoU+vXrx8KFC9ltt91YunQphx12GDfffDMXXXQRs2bNYtmyZRslzDcqE773PdhjDzjuuMp/niRJG6jRO9oRMTYi3oiIp8ratomIiRHxfPGzR9EeEXF5RNRExBMRsW/ZMSOL/s9HxMiy9sER8WRxzOXRnH/fljaSwYMHM2XKFJYtW8bEiRNZsmQJu+2222p9brjhBj7/+c+v1ta/f38eeOABli5dyiOPPEKnTp3WOm59TJgwgaeeeopp06bxve99j2HDhnHLLbewePFiHnnkET7ykY+s9fnTpk1j2rRp/PnPf15ru9Ypp5zCvHnzmDdvHldccQWnnnpq3fa8efM45JBDuOeee+q2+/Xrx+LFi+nVqxc1NTVcfvnlbLvtthx00EEMHTqUCRMmcM8993DEEUds8LWuxy8KPPFE6W52B/9RTpLUejXljvYNwM+B8nnKzgXuz8wfRMS5xfa/A0cBA4plf+BKYP+I2Aa4CBgCJPBoRIzPzDeLPqcBDwMTgGHAH5p/adLGMW/ePB566CHGjBlT1zZ9+nSefvppTjzxxAaPe+edd7jnnnv41a9+1ewa9txzTwAOOeQQvvGNbzBq1Cg+9alPrTXee8072PXd0V7TjBkz2HnnnRutYc6cOeywww5AaS7t2jv8o0aN4sQTT2TJkiVMmjRpwy+yKWrvZu+yC3zmM5X9LEmSmqnRoJ2Z/xMRfddoHg4cXKzfCDxIKWgPB24qntCcHBFbR8RORd+JmbkAICImAsMi4kFgy8ycXLTfBByHQVtV9tBDDzFw4EAWL17M6NGjGTFiBAMGDKjbf8MNN3DcccexxRZbrHbcX//617p+3/zmN9lzzz057LDDuPvuuznvvPPq+l111VUALF68mCVLlvCXv/xltfOUz79933338a1vfYvbbruN3XbbjU9/+tOcd955PP7446sdUzvkZdiwYQC89dZbHHDAAUybNg0oBf81g/Dy5csZN24cN998c6O/JpMmTWK//farO3fttffv35+IYO+996Z3796NnqdZ/vd/4f/+D664ovQ2SEmSWrENHaO9Q2a+Wqy/BuxQrPcCXi7rN7toW1f77HrapRbRt29fZs6cCcAnPvEJAK6//nomT57MUUcdxWabbcZnPvMZLr300rpjaueoHjt27Frnu//++zniiCPo0KEDxx57LHfddRcAxx9/PMcff/xa/dc1RnvRokWccMIJbLbZZvzkJz+hd+/eXHTRRYwdO5aLL76YY445hjFjxnDssccyfvx4/uM//gOAr3/960BpPvAZM2bUzeFd7g9/+AOdOnXic5/7HAceeGBdgG7IypUrueaaa7jsssuA0h39/fbbj7fffpsvfvGL7LrrrrzwwgtcdNFFXHDBBXTqVKHHPy6/HHr0gFNPrcz5JUnaiJr9t2FmZkRk4z2bLyJGA6OB1R5AkzbUSy+9VG/7F77whbq7zmvq2LEjc+bMqXff+eefz/nnn9/suv7xj3/QuXNnLr74Yo4//niuu+46Pve5z/HhD3+YqVOnssMOO3DYYYfxpS99iUsuuYS//OUvDB8+fLVz1N7Rfuqpp9Y6//z58xk0aBBnnHFGk142c91119GjRw9eeeUVtt9+e7p06cInP/lJBg8ezMEHH8wNN9zAW2+9xQknnMAdd9zBI488stbDo8328stw111wzjmw+eYb99ySJFXAhgbt1yNip8x8tRga8kbRPgcoH+zZu2ibw3tDTWrbHyzae9fTv16ZeTVwNcCQIUNaJNxL1fC+972PadOm1c193bdvX2699VYOOOCAuj4f/ehH+dvf/saTTz653nNzb7vttvz973+nW7du9e7/4x//uNr2SSedxPDhw9lhhx044YQT6Ny5M2+++SaXXnopRx99dN05J02axP/+7/9u/JANpdetZ8IZZ2z8c0uSVAFRGk7dSKfSGO17M3OfYvtHwPyyhyG3ycxvRsTHgS8DR1N6GPLyzNyveBjyUaB2FpLHgMGZuSAiHgH+H+89DHlFZk5orKYhQ4bk1KlT1+9qJW2ali2D3r3hYx8r3dVuRSLi0cwcUu062iK/5yW1Bs35nm/0jnZE/JrS3ejtImI2pdlDfgDcHhGjgJnASUX3CZRCdg2wFDgVoAjU3wamFP0uqX0wEjiD0swm3Sk9BOmDkJJWd+utsGABlM0bLklSa9eUWUdObmDXofX0TeDMBs4zFljr6bHMnAqs/bSWpE3Kb3/7WwYNGkSfPn027olXrChN6TdwoK9blyRtUnzbg6Rme/jhhxk1YgRD9tqLK376U1atWrXxTv7LX8KMGfD97/u6dUnSJsWgLalZVqxYwRdPPpmfv/02f1m6lDvOP58DBg3i+eefb/7JFy6ESy6BQw6BI49s/vkkSWpBBm1JzXLpd7/LLq+/zghgd+DBJUt46+9/Z+J///dGOPmlMG9e6ad3syVJm5gKvVVCUnswffp0fvqjH/HYsmXUxuCbgc369GH0l77UvJPPnQuXXVZ61frgwc0tVZKkFmfQlrRB3n33XU47+WQuXr6c2tdHvQ58s3t3/jhuXPPfDnn11aVp/TbCC4AkSaoGh45I2iBXjRlD1tRwRtlc/F/t3p1Tv/QlBg0a1LyTv/MOXHklHHYY7LlnMyuVJKk6vKMtab29/PLLXHTeeTy0ZEnd/63/Dnh06625/nvfa/4HjBsHc+aU3gYpSdImyqAtab1kJmeMHMlX3n6bvYq2RcAZ3btz8623rvfr4NeyfDlccAHsuy8cc0xzy5UkqWoM2pIa9I9//IPMZIsttqhru/2223jx4Yf5zcqVdW3ndu3KUSecwMEHH9z8D/3Zz2DmTLj2Wujg6DZJ0qbLv8UkNej7l1zCbr16cfttt5GZzJ8/n7NOP51rly6lS9Hnz8D4zTbj0iuuaP4HTp8OF10Ew4eXxmdLkrQJ8462pAa99OyzjFi8mP8cNYpbrr6aLt268ellyxha7F8OnLbZZlxx7bVsvfXWzfuwRYtgxAjYfHO46qrmli5JUtV5R1tSg+bMmsVxwGNLljD4f/6HFydN4jsrVtTt/06nTux94IEc/8lPNu+D3nkHTjwRnnkGfv1r2HHH5p1PkqRWwDvakho0+9VX6QV0BS5auZKLysZlPwFc3a0bf7v++uZ9yLvvwujRMHEiXH89HHFE884nSVIr4R1tSfXKTGYvWECvBvZ/u0sX/vljH2O77bbb8A9ZsQJGjoQbboCLL4YvfGHDzyVJUitj0JZUr/nz59O9Y0c2b2D/f61YwYpJkxi8xx5MmTJl/T9gxgw48EC45Rb4znfgwgubVa8kSa2NQVtSvebMmUPvrl0b3L8L8PulSzlnxgw+OnQov7r55qad+O23S8F6773h2WfhzjvhP/4DIjZO4ZIktRKO0ZZUr9mzZzc4bKTWROAHm2/O4UOGcODHPtb4Se+/H844A/7+99LDj5ddBr17b4xyJUlqdQzakuo1e/Zser/zTr37ZgLnbLYZ07bYgp9dcw3HfOIT6z7Za6/BOeeUZhTp3x/+8AcYNmzjFy1JUivi0BFJ9Zozaxa9ly1brW058O1OnRjcvTuDvv51nn7ppXWH7HffLc2Jvcce8JvflMZhP/mkIVuS1C54R1tSvWbX1PDPZdu/A87abDMGHnggj/7yl/Tp02fdJ3jyydK0fZMnwyGHwJVXwgc+UMmSJUlqVQzakuo156WX6AXUUArYNdtsw1Vjx3L44Yev+8CFC0tT9V1xBfToATfdBKec4sOOkqR2x6AtqV6zX3mFGzt25E9du/Lv55/PXV/7Gl0i4PHH4YUX4PXX4Y03YP582G476NMHZs+GMWNK7aNHw3e/C9tuW+1LkSSpKgzakuq1aMUKOn7iE/zte9+j17x58P3vl+5Sz5//XqcI2Gqr0l3szNL2wQfDvffCkCFVq12SpNbAoL2mlSth6VJYtqy03qlT/UuHDv5TeFuWWXqQr/Zn+XoEbLbZe33ffbd0B7dLF9hiC+jcuXmfvXw5PPYYvPVW6SHCWbNK0+EtX1469/veV7p7vOuuDU+Nt2rV2r9H33oLXn651NapE8yZU2p/883Sdteu8OKL8NBD8Npr/H3bben+l7/AXnu9d46Pfxw++9nSHNg77FC6W92pU+kNj7Nnl2rbfvvmXb8kSW1EqwnaETEM+BnQEbg2M3+wzgOee6505yyztJ353lK+3dC+d98tBZfaUL10aWlZubLpRTcUwte1dOzY9L5NCfK1IbChULgh2+Uhs1xtPeV1NbaeCe+8s/ry7rvv9dmQpUOH934ta389a3+uWlW6u1q7rFjR8LU11Lbmddenb1/o1QvmzSuF0xUr3tvXtWspcG6xRWnZbDPo3r3hpXb/ihXwxz/CI4+Ufp2a4uST4RvfKE2f99RTpQcQn3wSpk8v3Wk+6CDo2bPU9n//996v/br06QN9+tB9jz3gYx+DnXeGgQNLy/vfX/8xXbqUgr/arca+wyOiK3ATMBiYD3w6M19q6TolqSW1iqAdER2BMcDhwGxgSkSMz8xn1nlg7T9VlwfA+rbr29ehA3TrVgo5tUFnzfWOHUvBbeXKjb+sWlUK+g3tb0rQyizVWHvnskOHtdfXZ7s23Je3l3/Wmuv1ta25DqXQ2bnze0vHjqv/z8/6Lu+++95/l/Jfx1Wr3hvK0KtX6WfXrmtfZ32/Vk1t69Ch9FmPPgoLFpTu7A4fXgqn77wDixevvSxbVlrmzn3vf+pq25YtWz2kDxoEZ58NH/kIbL01PP98KdR/4AOlX8d33in9D8SsWTBpEvzwh6W5qWv16gX/9E9w6KHw6qvw8MOloR677w7f+hZ88IOlX8MVK0p3wzt0KH3OypWltp49S4HZf63Remjid/go4M3M3C0iRgA/BD7d8tVKUstpFUEb2A+oycwZABExDhgONBy0d9+99E/c0qau9n8WVq2CLbdcfd/BB6/df8cdS7//Dz8cRowoPZi43Xal0L/NNi1SsrSGpnyHDwcuLtbvBH4eEZHZlH9CkqRNU2sJ2r2Al8u2ZwP7r9kpIkYDo4vNtyPiqRaorbXYDphX7SJamNfc9rWF621kQvF2oSnf4XV9MnNlRCwEtmWN//7t9Hu+Lfw5aIr2cp3Qfq61vVzn7ht6YGsJ2k2SmVcDVwNExNTMbDfTGrS36wWvuT1ob9erxrXH73mvs+1pL9fanq5zQ49tLa9gnwPsXLbdu2iTJLV+TfkOr+sTEZ2ArSg9FClJbVZrCdpTgAER0S8iugAjgPFVrkmS1DRN+Q4fD4ws1k8EHnB8tqS2rlUMHSnG630ZuI/S1FBjM/PpRg67uvKVtSrt7XrBa24P2tv1tkkNfYdHxCXA1MwcD1wH3BwRNcACSmG8Me3l94fX2fa0l2v1OhsR3lCQJEmSNr7WMnREkiRJalMM2pIkSVIFtJqgHRFjI+KN8jlTI2JgREyOiGkRMTUi9ivaIyIuj4iaiHgiIvYtO2ZkRDxfLCPr+6zWYj2v+eCIWFi0T4uIC8uOGRYRzxW/HudW41qaooHr/VBE/DUinoyI30XElmX7ziuu6bmIOLKsfZO4Xli/a46IvhGxrOy/8VVlxwwu+tcUv/db5asbI2LniJgUEc9ExNMR8dWifZuImFj8uZwYET2K9jbxZ1nN09if6YjoGhG3Ffsfjoi+LV9l8zXhOs8p/uw8ERH3R8QmOUd7U7+jI+KEiMiI2CSnh2vKdUbESWXfh7e2dI0bSxN+7+5SfPc/Xvz+PboadTZHfX9fr7G/wb+v1ikzW8UCHATsCzxV1vbfwFHF+tHAg2XrfwACGAo8XLRvA8wofvYo1ntU+9o20jUfDNxbzzk6Ai8AuwJdgL8Be1X72tbjeqcAHyvW/xX4drG+V3EtXYF+xTV23JSudwOuuW95vzXO80jxez2K3/tHVfvaGqhzJ2DfYn0L4O/Ff8tLgXOL9nOBHxbrbeLPskuzfs80+mcaOAO4qlgfAdxW7br/P3t3Hm5VWTZ+/HszKaIMCqJMYooDWpqelDIrZzEVe1PTUslMs7RQe9/UN39pDleWvWZOlCU5ZBJpKiWpoClSgeKckoIDgwMyCSKKAs/vj7WObuDA2QfOPuucfb6f69rXXutZz1rnXpx99r559jNU6D73ATbKt79drfeZ19sEGA9MBGqKjrtCv88BwBO1713A5kXHXcF7vQ74dr49EHil6LjX4T5X+7xe5Xidn1f1PZpNi3ZKaTzZSPSVioHaFs4uwGv59hDgppSZCHSNiC2Bg4CxKaX5KaUFwFjg4MpHv24aeM9r8uHSxyml94HapY+bnTXc73Zkb7aQ/b6+nG8PAUamlJamlF4GppHda4u5X2jwPdcpf213TilNTNlf+03AEY0da2NIKb2eUno8334bmEK2IuAQ4Ma82o18FH9V/C1rvZTzN136+rkN2K+5fquzFvXeZ0rp7ymlJfnuRLL5yFuact+jLwJ+CrzXlME1onLu82Tgmvw9jJTSm00cY2Mp514bmrs0O2v4vC61ps+rtWo2ifYanAFcFhEzgZ8D5+bldS3323st5S3Jmu4Z4NMR8VRE/C0idsrLWvo9P8tHf7BH8dGiF9X8O17TPQNsnX/19lBE7J2X9Sa7z1ot4p7zr/c/CUwCeqaUXs8PvQH0zLer+fes8pTzu15p+Xagdvn2lqShr+mTyFrPWpp67zP/yr1vSunupgyskZXz+9wO2C4i/hFZl9CW2lhQzr1eABwXEbOAMcB3mya0JrVOn0vNPdH+NnBmSqkvcCbZPKzVbk33/DiwVUppF+Aq4M6C4mts3wC+ExGPkX2V+H7B8TSFNd3z60C/lNIngbOAP5T2WW9JImJj4HbgjJTSotJjeau884pKaxARxwE1wGVFx9LYIqINcDnw/aJjaQLtyLqPfAE4FvhNRHQtNKLKORa4IaXUh6yLxc3577rVa+7/CEOBP+fbfyL7+gLWvNxvNSzlXuc9p5QWpZQW59tjgPYR0Z0Wfs8ppf+klA5MKe0O3ErWDwyq+He8pnvOu8nMy7cfy8u3I7u/0q+Qm/U9R0R7siT7lpRS7Wt5du1XbPlz7VeoVft7Vtlay/LtZb2mI2J/4IfA4SmlpU0UW2Oq7z43AXYGHoyIV8j6uo5ugQMiy/l9zgJGp5Q+yLtAvkCWeLc05dzrScAogJTSv4ANge5NEl3TWafPpeaeaL8GfD7f3heYmm+PBk7IR4AOAhbmX0vfCxwYEd3yWQ0OzMtakjrvOSK2qO2TGNlMJG3IPmha9PL1EbF5/twGOA+onWljNHBMPtvA1mRvTo/Qwu8X1nzPEdEjItrm2x8ju+eX8tf2oogYlL8GTgDuKiT4euTxXQ9MSSldXnKodPntoXwUfzX/Las8rWX59nrvMyI+CfyaLMluqf1513qfKaWFKaXuKaX+KaX+ZH3RD08pTS4m3HVWzuv2TrLWbPKGse3IBna3NOXc6wxgP4CI2JEs0Z7TpFFW3po+r9auEiM31+VB1rL3OvAB2f8CTwI+CzxGNsJ1ErB7XjeAa8ha/J6hZMQy2dfy0/LHiUXfVyPe8+lkfXufIntj+kzJdQ4h+5/yi8APi76vBt7vsDz2F4BLyVcrzev/ML+n5ymZZaOl3G9D75lsUOSzwJNkXYUOK7lODfDv/J6vLv13ak6P/PWbgKfz+3gy/31tBtxP9h/HccCmef2q+Fv2sd6vm9X+poELyRIwyD60/5S/Fh4BPlZ0zBW6z3HA7JK/ndFFx1yJ+1yl7oO0wFlHyvx9Blk3mefy97djio65gvc6EPgHWY7yJHBg0TGvwz3W9Xl9KnBqye+zzs+rtT1cgl2SJEmqgObedUSSJElqkUy0JUmSpAow0ZYkSZIqwERbkiRJqgATbUmSJKkCTLQlSZKkCjDRliRJkirARFuSJEmqABNtSZIkqQJMtCVJkqQKMNGWJEmSKsBEW5IkSaoAE21JkiSpAky0JUmSpAow0ZYkSZIqwERbkiRJqgATbUmSJKkCTLQlSZKkCjDRliRJkirARFuSJEmqABNtSZIkqQJMtCVJkqQKMNGWJEmSKsBEW5IkSaoAE21JkiSpAky0JUmSpAow0ZYkSZIqwERbkiRJqv6p83wAACAASURBVAATbUmSJKkCTLQlSZKkCjDRliRJkirARFuSJEmqABNtSZIkqQJMtCVJkqQKMNGWJEmSKsBEW5IkSaoAE21JkiSpAky0JUmSpAow0ZYkSZIqwERbkiRJqgATbUmSJKkCTLQlSZKkCjDRliRJkirARFuSJEmqABNtSZIkqQJMtCVJkqQKMNGWJEmSKsBEW5IkSaoAE21JkiSpAky0JUmSpAow0ZYkSZIqwERbkiRJqgATbUmSJKkCTLQlSZKkCjDRliRJkirARFuSJEmqABNtSZIkqQJMtCVJkqQKMNGWJEmSKsBEW5IkSaoAE21JkiSpAky0JUmSpAow0ZYkSZIqwERbkiRJqgATbUmSJKkCTLQlSZKkCjDRliRJkirARFuSJEmqABNtSZIkqQJMtCVJkqQKMNGWJEmSKsBEW5IkSaoAE21JkiSpAky0JUmSpAow0ZYkSZIqwERbkiRJqgATbUmSJKkCTLQlSZKkCjDRliRJkirARFuSJEmqABNtSZIkqQJMtCVJkqQKMNGWJEmSKsBEW5IkSaoAE21JkiSpAky0JUmSpAow0ZYkSZIqwERbkiRJqgATbUmSJKkCTLQlSZKkCjDRliRJkirARFuSJEmqABNtSZIkqQJMtCVJkqQKMNGWJEmSKsBEW5IkSaoAE21JkiSpAky0VXUiomNEHFJH+b4R0baImCRJUutjoq1q1B44NSJ+XlsQEVcAPwI2LSwqSZLUqkRKqegYpEYREUOAE2t3gT7AzHx/N+BJYEW+fycwHJhez2X7AQNTSq80arCSJKnqtSs6AKkR3Q88tkrZt4DOwOmrlG8GPJVSGrS2C0bEhMYLT5IktSYm2qoaKaXFeReRmpLiHkBb4PMlZXOBbwJExJnA0Lx8C+B9YH6+f1lFA5YkSVXNriOqahHx30DXlNJ5q5T3B0aWtmhHxAXAKymlG0rKJgDH2XVEkiQ1lC3aqhoRcSXwuVWKuwJtIuLQVcrn5ufsD9QOmtwCeD8izsj3v1qpWCVJUvUz0VbVSCl9b9WyiPgysEVK6ZpVyvuTtWiPA3bNyy4AXgG+APwopTQjIioasyRJql4m2qoaq/S3rrUFsCwiTl6l/Nm1XOo3wAHA9Y0YniRJamXso62qlXcLuRSYB1ydUvpLybH+wEiyKf9q+2l3BpYBS/L90cC+2EdbkiStA1u0VXUiYgvgO8BRwBFks4iMyvtpD08pPVlbN6V0aj3X2reSsUqSpOploq2qERGnkE3b15us28enU0pv5cf2B44Hro+IvsAvgV0i4j/1XLZfBUOWJElVzK4jqhoR0Y9slpFn0lpe2BHRE9gS+FWZC9bYdUSSJDVYm3IqRcSZEfFsRPw7Im6NiA0jYuuImBQR0yLijxHRIa+7Qb4/LT/ev+Q65+blz0fEQSXlB+dl0yLinMa+SbUOKaUZKaWn15Zk5/Vm591H9irjmp81yZbWLiJGRMSbEfHvNRyPiLgyf49/OiJ2a+oYJakI9SbaEdEb+B5Qk1LamWyVvWOAnwK/SCltCywATspPOQlYkJf/Iq9HRAzMz9sJOBi4NiLaRkRb4BpgMDAQODavK1VUSml50TFIVeIGsvf1NRkMDMgfpwDDmyAmSSpcWS3aZH25O0ZEO2Aj4HWy2Rhuy4/fSDboDGBIvk9+fL/IJiMeQjZv8dKU0svANGCP/DEtpfRSSul9spkghqzfbUmSmkpKaTzZoOM1GQLclDITga4RsWXTRCdJxak30U4pvUq2ct4MsgR7IfAY8FZKaVlebRbZADTy55n5ucvy+puVlq9yzprKJUnVwfd5Sa1SvbOOREQ3staIrYG3gD+x9q8IKyafVeIUgE6dOu2+ww47FBGGJPHuu/DccwCPzU0p9Sg6nmrh+7yk5uaxx9b9fb6c6f32B15OKc0BiIg/kw0i6xoR7fJW6z7Aq3n9V4G+wKy8q0kXsgVDastrlZ6zpvKVpJSuA64DqKmpSZMnTy4jfElqfNdcA6efDhDTi46lBVjb+/9KfJ+X1NxErPv7fDl9tGcAgyJio7yv9X7Ac8DfgSPzOkOBu/Lt0Xy0DPaRwAP5LBCjgWPyWUm2JhsU8wjwKDAgn8WkA9mAydHrekOS1BQmTIDedn4o12jghHz2kUHAwpTS60UHJUmVVm+LdkppUkTcBjxOtjz1E2StDXcDIyPi4rzs+vyU64GbI2Ia2eCYY/LrPBsRo8iS9GXAabWzPkTE6cC9ZDOajEgpPdt4tyhJjSslePhh2HtvGDmy6GiKFxG3Al8AukfELOB8oD1ASulXwBjgELJB8EuAE4uJVJKaVotdsMavFCUV5ZVXYOut4eqr4fTT47GUUk3RMVUj3+clNQcR6/4+X+70fpKk3IQJ2fPeexcbhySpeTPRlqQGevhh6NIFdtqp6EgkSc2ZibYkNdCECfCZz0DbtkVHIklqzky0JakB5s3L5s+224gkqT4m2pLUAP/4R/b82c8WG4ckqfkz0ZakBnj4YejQAT71qaIjkSQ1dybaktQADz4IgwbBhhsWHYkkqbkz0ZakMi1aBI8/Dp//fNGRSJJaAhNtSSrThAmwYgV84QtFRyJJaglMtCWpTA89BO3bZ11HJEmqj4m2JJXpwQdhzz1ho42KjkSS1BKYaEtSGd5+Gx57zP7ZkqTymWhLUhn+8Q9Yvtz+2ZKk8ploS1IZHnoI2rWDT3+66EgkSS2FibYkleHBB2GPPaBTp6IjkSS1FCbaklSPxYth8mT7Z0uSGsZEW5Lq8c9/wrJlJtqSpIYx0Zakejz0ELRtC3vtVXQkkqSWxERbkurx0ENQUwMbb1x0JJKklsREW5LWYskSeOQRp/WTJDWcibYkrcWECfDBBybakqSGM9GWpLUYNw46dIC99y46EklSS2OiLUlrMW4cfOYzzp8tSWo4E21JWoO5c+GJJ2D//YuORJLUEtWbaEfE9hHxZMljUUScERGbRsTYiJiaP3fL60dEXBkR0yLi6YjYreRaQ/P6UyNiaEn57hHxTH7OlRERlbldSSrfAw9kzybakqR1UW+inVJ6PqW0a0ppV2B3YAlwB3AOcH9KaQBwf74PMBgYkD9OAYYDRMSmwPnAnsAewPm1yXle5+SS8w5ulLuTpPUwbhx06QK77150JJKklqihXUf2A15MKU0HhgA35uU3Akfk20OAm1JmItA1IrYEDgLGppTmp5QWAGOBg/NjnVNKE1NKCbip5FqSVJhx42CffaBdu6IjkSS1RA1NtI8Bbs23e6aUXs+33wB65tu9gZkl58zKy9ZWPquO8tVExCkRMTkiJs+ZM6eBoUtS+V56CV5+2W4jkqR1V3aiHREdgMOBP616LG+JTo0YV51SStellGpSSjU9evSo9I+T1IqNG5c977dfsXFIklquhrRoDwYeTynNzvdn590+yJ/fzMtfBfqWnNcnL1tbeZ86yiWpMOPGQe/esP32RUciSWqpGpJoH8tH3UYARgO1M4cMBe4qKT8hn31kELAw72JyL3BgRHTLB0EeCNybH1sUEYPy2UZOKLmWJDW5FSvg/vuzbiPOgSRJWldlDfGJiE7AAcC3SoovBUZFxEnAdODovHwMcAgwjWyGkhMBUkrzI+Ii4NG83oUppfn59neAG4COwN/yhyQV4sknYf58+2dLktZPWYl2SukdYLNVyuaRzUKyat0EnLaG64wARtRRPhnYuZxYJKnS7J8tSWoMrgwpSasYOxYGDoQttyw6EklSS2aiLUklFi+G8eNh8OCiI5EktXQm2pJU4oEH4P334ZBDio5EktTSmWhLUokxY2DjjeGzny06EklSS2eiLUm5lODuu+GAA6BDh6KjkSS1dCbakpT7979h1iz44heLjkSSVA1MtCUpN2ZM9uxASElSYzDRlqTcmDGw667Qq1fRkUiSqoGJtiQBb70F//iHs41IkhqPibYkAX/5CyxfDocdVnQkkqRqYaItScCoUdC3L+y5Z9GRtEwRcXBEPB8R0yLinDqO94uIv0fEExHxdET43YGkqmeiLanVW7gQ7rsPjjwSIoqOpuWJiLbANcBgYCBwbEQMXKXaecColNIngWOAa5s2Sklqeibaklq90aOz1SCPOqroSFqsPYBpKaWXUkrvAyOBIavUSUDnfLsL8FoTxidJhWhXdACSVDS7jay33sDMkv1ZwKr/mhcA90XEd4FOwP5NE5okFccWbUmtWmm3kTa+I1bSscANKaU+wCHAzRGx2r94RJwSEZMjYvKcOXOaPEhJakx+rEhq1ew20iheBfqW7PfJy0qdBIwCSCn9C9gQ6L7qhVJK16WUalJKNT169KhQuJLUNEy0JbVqt9xit5FG8CgwICK2jogOZIMdR69SZwawH0BE7EiWaNtkLamqmWhLarVmzMi6jXz963YbWR8ppWXA6cC9wBSy2UWejYgLI+LwvNr3gZMj4ingVuDrKaVUTMSS1DQcDCmp1frd77Lnb3yj2DiqQUppDDBmlbIflWw/B+zV1HFJUpFsw5HUKi1bBtdfD/vtB/37Fx2NJKka2aItqVW64w6YOROuvrroSCRJ1coWbUmt0hVXwDbbwBe/WHQkkqRqZYu2pFZn/Hj45z/hyiuhbduio5EkVauyWrQjomtE3BYR/4mIKRHx6YjYNCLGRsTU/LlbXjci4sqImBYRT0fEbiXXGZrXnxoRQ0vKd4+IZ/JzroyIaPxblaTMhRdCz57wzW8WHYkkqZqV23Xkl8A9KaUdgF3Ipm86B7g/pTQAuD/fBxgMDMgfpwDDASJiU+B8smV59wDOr03O8zonl5x38PrdliTVbfx4uP9++MEPoGPHoqORJFWzehPtiOgCfA64HiCl9H5K6S1gCHBjXu1G4Ih8ewhwU8pMBLpGxJbAQcDYlNL8lNICYCxwcH6sc0ppYj6n6k0l15KkRrNiBZx1FvTpA6eeWnQ0kqRqV04f7a3JVu/6XUTsAjwGDAN6ppRez+u8AfTMt3sDM0vOn5WXra18Vh3lktSofv97eOyx7HmjjYqORpJU7crpOtIO2A0YnlL6JPAOH3UTASBvia74Cl8RcUpETI6IyXPmuHKvpPK98w6cey586lNw7LFFRyNJag3KSbRnAbNSSpPy/dvIEu/ZebcP8uc38+OvAn1Lzu+Tl62tvE8d5atJKV2XUqpJKdX06NGjjNAlKXPZZfDaa/CLX7jcuiSpadT7cZNSegOYGRHb50X7Ac8Bo4HamUOGAnfl26OBE/LZRwYBC/MuJvcCB0ZEt3wQ5IHAvfmxRRExKJ9t5ISSa0nSeps6FS69FI45BvZyEXBJUhMpdx7t7wK3REQH4CXgRLIkfVREnARMB47O644BDgGmAUvyuqSU5kfERcCjeb0LU0rz8+3vADcAHYG/5Q9JWm8pwbe/DRtsAJdfXnQ0kqTWpKxEO6X0JFBTx6H96qibgNPWcJ0RwIg6yicDO5cTiyQ1xK23ZtP5XX01bLll0dFIkloTeypKqloLF8KZZ2YDIJ3OT5LU1FyCXVLVuuwyePNNuPtul1qXJDU9W7QlVaXXX89mGDnmGKipq+ObJEkVZqItqSpdfTW89x5cdFHRkUiSWisTbUlV57334Lrr4LDDYNtti45GktRamWhLqjqjRsHcufDd7xYdiSSpNTPRllR1fvMb2H572HffoiORJLVmJtqSqsoLL8CECfCNb0BE0dFIklozE21JVeWGG7Kp/I4/vuhIJEmtnYm2pKqREowcCQcc4CqQkqTimWhLqhrPPgsvvwxf+lLRkUiSZKItqYrcdVf2fOihxcYhSRKYaEuqInfdBXvsAb16FR2JJEkm2pKqxFNPwaOPwpFHFh2JJEkZE21JVeGKK2CjjeCb3yw6EkmSMibaklq8F16AP/wBTjwRunUrOhpJkjIm2pJatLfeygY/du4MZ59ddDSSJH2kXdEBSNL6GD4cpk6F8eOhb9+io5Ek6SO2aEtq0UaNgk9/Gvbeu+hIJElamYm2pBbrhRfgySfh6KOLjkSSpNWZaEtqsf74x+zZKf0kSc2RibakFmnZMvjNb2DffaFPn6KjkSRpdSbaklqk0aNh5kz47neLjkSSpLqZaEtqcVasgMsug622gsMOKzoaSZLqVlaiHRGvRMQzEfFkREzOyzaNiLERMTV/7paXR0RcGRHTIuLpiNit5DpD8/pTI2JoSfnu+fWn5edGY9+opJblpZfgE5+AW29d/dh118HEiXD++dC2bdPHJklSORrSor1PSmnXlFJNvn8OcH9KaQBwf74PMBgYkD9OAYZDlpgD5wN7AnsA59cm53mdk0vOO3id70hSi/fOO3DEEfDMM/Ctb8H06R8dmzcvW5hmv/3g618vLERJkuq1Pl1HhgA35ts3AkeUlN+UMhOBrhGxJXAQMDalND+ltAAYCxycH+ucUpqYUkrATSXXktQK/fa3WZI9fHjWTeTHP/7o2OWXw9tvwxVXgN99SZKas3IT7QTcFxGPRcQpeVnPlNLr+fYbQM98uzcws+TcWXnZ2spn1VEuqRVKCX79a9hjDzj1VDjwQHj44ezYG2/AVVdl0/ntvHOxcUqSVJ9yl2D/bErp1YjYHBgbEf8pPZhSShGRGj+8leVJ/ikA/fr1q/SPk1SACRNgyhS4/vpsf9AguOOOrM/2l78My5fDBRcUGqIkSWUpq0U7pfRq/vwmcAdZH+vZebcP8uc38+qvAn1LTu+Tl62tvE8d5XXFcV1KqSalVNOjR49yQpfUwvzhD9CpE3zlK9n+nntmz1/6Utad5PbbYeDA4uKTJKlc9SbaEdEpIjap3QYOBP4NjAZqZw4ZCtyVb48GTshnHxkELMy7mNwLHBgR3fJBkAcC9+bHFkXEoHy2kRNKriWpFUkJxoyBAw7Ikm2Amhpo0waefhqOOgoOdqh0sxQRB0fE8/nsUeesoc7REfFcRDwbEX9o6hglqamV03WkJ3BHPuNeO+APKaV7IuJRYFREnARMB47O648BDgGmAUuAEwFSSvMj4iLg0bzehSml+fn2d4AbgI7A3/KHpFbmuedgxgw477yPyjp1yqb5e/JJOPPM4mLTmkVEW+Aa4ACycTaPRsTolNJzJXUGAOcCe6WUFuRdESWpqtWbaKeUXgJ2qaN8HrBfHeUJOG0N1xoBjKijfDLg0CaplRszJnsePHjl8hNPhCeeyAZIqlnaA5iWf14QESPJZqB6rqTOycA1+axTtV0RJamqlTsYUpIqbsyYrPW6T5+Vy7/3vWLiUdnqmlVqz1XqbAcQEf8A2gIXpJTuaZrwJKkYLsEuqVlYuDCbceSQQ4qORBXSjmxBsi8AxwK/iYiuq1aKiFMiYnJETJ4zZ04ThyhJjctEW1KzMG4cLFtmot1CrWlWqVKzgNEppQ9SSi8DL5Al3itxdilJ1cREW1KzMGYMdOkCn/500ZFoHTwKDIiIrSOiA3AM2QxUpe4ka80mIrqTdSV5qSmDlKSmZqItqXAffAB33w0HHQTtHDnS4qSUlgGnk03jOgUYlVJ6NiIujIjD82r3AvMi4jng78D/5IPqJalq+ZEmqXB//SvMng3HHVd0JFpXKaUxZNO7lpb9qGQ7AWflD0lqFWzRllS44cOhb1/7Z0uSqouJtqRC3XknjB0LJ58MbdsWHY0kSY3HRFtSIW66CbbaCo48EvbcE4YNKzoiSZIal4m2pEL86lewYkW2rPp990HnzkVHJElS4zLRltTk5s+HSZPgG9+Ayy4zyZYkVScTbUlNbuzYrDV78OCiI5EkqXJMtCU1uXvugW7d4FOfKjoSSZIqx0RbUpNKCe6/H/bf31lGJEnVzURbUpN65RWYORM+//miI5EkqbJMtCU1qfHjs2cTbUlStXMJdmktVqxYwdy5c3nrrbdYvnx50eFUhW22gXvvhTZtYMqUoqOpX9u2benatSvdu3enTRvbJiRJ5TPRltZi1qxZRAT9+/enffv2RETRIbV4zzwDW2wB225bdCT1SynxwQcfMHv2bGbNmkW/fv2KDkmS1ILYPCOtxTvvvEPv3r3p0KGDSXYjWLo0e2yySdGRlCci6NChA7179+add94pOhxJUgtjoi3Vw+4CjWfhwuy5S5di42goXwOSpHXhp4ekJrNoEXToABtsUHQkkiRVnom2VEVeeeUVIoJly5Y1+c++4YYb+OxnP7vG4ytWZIl2ly7Q0F44w4cPp2fPnmy88cbMmzdvPSOVJKlpmGhLLVj//v0ZN25c0WGUZfHiLNluaLeRDz74gLPOOov77ruPxYsXs9lmm1UmQEmSGlnZiXZEtI2IJyLir/n+1hExKSKmRcQfI6JDXr5Bvj8tP96/5Brn5uXPR8RBJeUH52XTIuKcxrs9Sc3FokVZS3ZDB0LOnj2b9957j5122qkygUmSVCENadEeBpTOevtT4BcppW2BBcBJeflJwIK8/Bd5PSJiIHAMsBNwMHBtnry3Ba4BBgMDgWPzupLW4vjjj2fGjBkcdthhbLzxxvzsZz/78Ngtt9xCv3796N69O5dccsmH5StWrODSSy9lm222YbPNNuPoo49m/vz5a/wZP/vZz9hyyy3p1asXv/3tb4kIpk2bBsC8efM4/PDD6dy5M3vssQcvvvjiSudGBFdeeSUf+9jH6N69O//v//0PG220os5l15cuXcoZZ5xBr1696NWrF2eccQZLly7lhRdeYPvttwega9eu7Lvvvqud++CDD9KnT5+Vykpb+h955BFqamro3LkzPXv25Kyzzvqw3lFHHcUWW2xBly5d+NznPsezzz67xn8LSZIaqqxEOyL6AF8EfpvvB7AvcFte5UbgiHx7SL5Pfny/vP4QYGRKaWlK6WVgGrBH/piWUnoppfQ+MDKvK2ktbr75Zvr168df/vIXFi9ezA9+8IMPj02YMIHnn3+e+++/nwsvvJAp+cowV111FXfeeScPPfQQr732Gt26deO0006r8/r33HMPl19+OePGjWPatGk8+OCDKx0/7bTT2HDDDXn99dcZMWIEI0aMWO0ad9xxB5MnT2bixMd54IG7uPvu1esAXHLJJUycOJEnn3ySp556ikceeYSLL76Y7bbb7sPk96233uKBBx5o8L/TsGHDGDZsGIsWLeLFF1/k6KOP/vDY4MGDmTp1Km+++Sa77bYbX/va1xp8fUmS1qTcBWuuAH4A1H7puxnwVkqpdsTVLKB3vt0bmAmQUloWEQvz+r2BiSXXLD1n5irlezbgHqQmc8YZ8OSTlf0Zu+4KV1yxftc4//zz6dixI7vssgu77LILTz31FDvuuCO/+tWvuPrqqz9sAb7gggvo168fN998M+3arfx2MGrUKE488cQPu2xccMEF3HLLLQAsX76c22+/nWeeeYZOnTqx8847M3ToUMbXrq+eO/vss9l0001ZvnxTjjnmDP7611v57//+5mrx3nLLLVx11VVsvvnmH8b/rW99i4suumj9/iGA9u3bM23aNObOnUv37t0ZNGjQh8e+8Y1vfLh9wQUX0K1bNxYuXEiXljb/oCSpWaq3RTsiDgXeTCk91gTx1BfLKRExOSImz5kzp+hwpGZriy22+HB7o402YvHixQBMnz6dL33pS3Tt2pWuXbuy44470rZtW2bPnr3aNV577TX69u374X7p9pw5c1i2bNlKZVtttdVq16g9Pn8+9Ou3FbNnv1ZnvK+99tpK52+11Va89lrddRvq+uuv54UXXmCHHXbgU5/6FH/961+B7D8L55xzDttssw2dO3emf//+AMydO7dRfq4kSeW0aO8FHB4RhwAbAp2BXwJdI6Jd3qrdB3g1r/8q0BeYFRHtgC7AvJLyWqXnrKl8JSml64DrAGpqalIZsUuNan1bmhtbQ1er7Nu3LyNGjGCvvfaqt+6WW27JrFmzPtyfOfOjL5569OhBu3btmDlzJjvssAMAM2bMWO0aM2fOZNttd+Ltt2HRohn06tWrzp/Vq1cvpk+f/mHr+YwZa667qk6dOrFkyZIP95cvX07pf8QHDBjArbfeyooVK/jzn//MkUceybx58/jzn//MXXfdxbhx4+jfvz8LFy6kW7dupORbiySpcdTbop1SOjel1Cel1J9sMOMDKaWvAX8HjsyrDQXuyrdH5/vkxx9I2SfXaOCYfFaSrYEBwCPAo8CAfBaTDvnPGN0odydVuZ49e/LSSy+VXf/UU0/lhz/8IdOnTweylum77rqrzrpHH300v/vd75gyZQpLlixZqRtH27Zt+a//+i8uuOAClixZwnPPPceNN9642jUuu+wyXnxxAW+8MZMbbvglX/nKV+r8WcceeywXX3wxc+bMYe7cuVx44YUcd9xxZd3Tdtttx3vvvcfdd9/NBx98wMUXX8zSpUs/PP773/+eOXPm0KZNG7p27QpkKz2+/fbbbLDBBmy22WYsWbKE//3f/y3r50mSVK71mUf7bOCsiJhG1gf7+rz8emCzvPws4ByAlNKzwCjgOeAe4LSU0vK8Rfx04F6yWU1G5XUl1ePcc8/l4osvpmvXrvz85z+vt/6wYcM4/PDDOfDAA9lkk00YNGgQkyZNqrPu4MGD+d73vsc+++zDtttu+2Hf5g3yZR2vvvpqFi9ezBZbbMHXv/51TjzxxNWu8cUvDuHAA3fn+ON35dBDv8hJJ520Wh2A8847j5qaGj7xiU/w8Y9/nN12243zzjuvrH+DLl26cO211/LNb36T3r1706lTp5VmIbnnnnvYaaed2HjjjRk2bBgjR46kY8eOnHDCCWy11Vb07t2bgQMHrtR3W5KkxhAt9WvSmpqaNHny5KLDUJWbMmUKO+64Y9FhNAtTpkxh5513ZunSpasNnKxLRDB27FQ23XRbdtqp5S+7vqbXQkQ8llKqKSCkquf7vKTmYH3e510ZUtIa3XHHHSxdupQFCxZw9tlnc9hhh5WVZNd6+23YYouWn2RLkrQuTLQlrdGvf/1rNt98c7bZHlRgjgAAH+5JREFUZhvatm3L8OHDG3wNV0yXJLVW5TdNSWp17rnnnnU6LyV45plEu3a2ZkuSWi9btCU1urlz4b33oHv3oiORJKk4JtpSPVrqgOEipARLl8LMmbDJJtXTbcTXgCRpXdh1RFqL9u3b8+6777LRRhsVHUqztngxzJgBbdpAhw5Zwr311tDA9XSarXfffZf27dsXHYYkqYWxRVtai80335xXX32VJUuW2Kq5BsuXwwsvwPvvZwn3/PnQo0eWcLd0KSWWLFnCq6++yuabb150OJKkFsYWbWktOnfuDMBrr73GBx98UHA0zdPbb2fJ9RZbZP2y33knGwA5ZUrRkTWO9u3b07Nnzw9fC5IklctEW6pH586dTbLWICUYOBA6d4ZJk7L9BQtg002LjkySpOKZaEtaZxMnwn/+A7/7XbYfYZItSVIt+2hLWmd/+lPWF/u//qvoSCRJan5MtCWtk5TgttvgoIOyriOSJGllJtqS1smkSdl82UcdVXQkkiQ1TybaktbJtddCp05w+OFFRyJJUvNkoi2pwV5/HUaOhG98A7p0KToaSZKaJxNtSQ127bWwbBkMG1Z0JJIkNV8m2pIa5N134Ve/yrqMbLNN0dFIktR8mWhLapDf/x7mzoUzzyw6EkmSmjcTbUllSwmuugp23RU+97mio1FzEhEHR8TzETEtIs5ZS70vR0SKiJqmjE+SimCiLalsjzwCzzwD3/52tgqkBBARbYFrgMHAQODYiBhYR71NgGHApKaNUJKKYaItqWzXXZdN6XfssUVHomZmD2BaSumllNL7wEhgSB31LgJ+CrzXlMFJUlFMtCWVZdky+OMf4ZhjYJNNio5GzUxvYGbJ/qy87EMRsRvQN6V099ouFBGnRMTkiJg8Z86cxo9UkpqQibaksvznP/DOO7DvvkVHopYmItoAlwPfr69uSum6lFJNSqmmR48elQ9OkirIRFtSWR5/PHvebbdi41Cz9CrQt2S/T15WaxNgZ+DBiHgFGASMdkCkpGpXb6IdERtGxCMR8VREPBsRP87Lt46ISfkI8z9GRIe8fIN8f1p+vH/Jtc7Ny5+PiINKyssarS6pOI8/nvXPHjCg6EjUDD0KDMg/FzoAxwCjaw+mlBamlLqnlPqnlPoDE4HDU0qTiwlXkppGOS3aS4F9U0q7ALsCB0fEILIBLb9IKW0LLABOyuufBCzIy3+R1yMfgX4MsBNwMHBtRLQtd7S6pGI9/jjssgu0bVt0JGpuUkrLgNOBe4EpwKiU0rMRcWFEHF5sdJJUnHoT7ZRZnO+2zx8J2Be4LS+/ETgi3x6S75Mf3y8iIi8fmVJamlJ6GZhGNlK93NHqkgqyYgU88YTdRrRmKaUxKaXtUkrbpJQuyct+lFIaXUfdL9iaLak1KKuPdt7y/CTwJjAWeBF4K2/FgJVHmH84+jw/vhDYjDWPSq93tLqkpjV5MixaBPfcA9dcA1OmwOLFJtqSJDVEu3IqpZSWA7tGRFfgDmCHika1BhFxCnAKQL9+/YoIQap6EyfCpz+d9cWePh3efx++/OWsy8hBB9V/viRJyjRo1pGU0lvA34FPA10jojZRLx1h/uHo8/x4F2Aeax6VXt9o9dKf77RPUgWlBGeeCd27wxtvQL9+0KED3H47HHoo9OpVdISSJLUc5cw60iNvySYiOgIHkA12+TtwZF5tKHBXvj063yc//kBKKeXlx+SzkmwNDAAeoZ7R6pKazv33Zy3al16azZs9efJHq0CefHKxsUmS1NKU03VkS+DGfHaQNmSjyf8aEc8BIyPiYuAJ4Pq8/vXAzRExDZhPljiTj0AfBTwHLANOy7ukEBG1o9XbAiNSSs822h1KKttf/gIbbghf/Sp07JiVXXwxbL89HHxwsbFJktTSRNbY3PLU1NSkyZMdtC41pgEDYLvt4O61LpKtUhHxWErJhVcqwPd5Sc3B+rzPuzKkJABeeAGmTYMvfrHoSCRJqg4m2pIAGJ2PjBg8uNg4JEmqFibakkgJrr8+m9Zv662LjkaSpOpQ1jzakqrbhAnZLCO/+13RkUiSVD1s0ZbEb38LXbrA0UcXHYkkSdXDRFtqhRYvhquugrffhvfegzvugCOPhI02KjoySZKqh4m21Ar96lfwve/B5z8PI0ZkCfdXvlJ0VJIkVRcTbakVuvNO6N07m9LvtNOgRw/YZ5+io5IkqbqYaEutzOzZ8M9/wimnwPjx0KcPnHQStHNotCRJjcqPVqmVueuubDq/I46AT3wCpk8vOiJJkqqTibbUytx6K2y7LXz849l+G7/XkiSpIvyIlVqR6dPhwQfhhBMgouhoJEmqbibaUityyy3Z83HHFRuHJEmtgV1HpCo3e3Y2ld/ee8PPfgb77usy65IkNQUTbamKLV+etV6PGwejRkHPntm82ZIkqfJMtKUqNmJElmRfc002fd9ee8FWWxUdlSRJrYOJtlSlVqyAyy+H3XaDb3/bwY+SJDU1E22pSt17L/znP3DzzSbZkiQVwVlHpCr08MNZ3+y+feHoo4uORpKk1slEW6oyK1bA174Gm24KDzwAHToUHZEkSa2TXUekKvPoozBzJtx0U7YCpCRJKoYt2lKVue02aN8eDjus6EgkSWrdTLSlKpJSlmgfcAB07Vp0NJIktW4m2lIVmTgRXnkFjjqq6EgkSVK9iXZE9I2Iv0fEcxHxbEQMy8s3jYixETE1f+6Wl0dEXBkR0yLi6YjYreRaQ/P6UyNiaEn57hHxTH7OlRFORiati5tvho4d4ctfLjoSSZJUTov2MuD7KaWBwCDgtIgYCJwD3J9SGgDcn+8DDAYG5I9TgOGQJebA+cCewB7A+bXJeV7n5JLzDl7/W5Nal/ffhz/+EY44AjbZpOhoJElSvYl2Sun1lNLj+fbbwBSgNzAEuDGvdiNwRL49BLgpZSYCXSNiS+AgYGxKaX5KaQEwFjg4P9Y5pTQxpZSAm0quJalMd9wB8+fD8ccXHYkkSYIG9tGOiP7AJ4FJQM+U0uv5oTeAnvl2b2BmyWmz8rK1lc+qo1xSA/ziF9l0fgcdVHQkkiQJGpBoR8TGwO3AGSmlRaXH8pbo1Mix1RXDKRExOSImz5kzp9I/Tmox/vlPmDQJhg2DNg5xliSpWSjrIzki2pMl2beklP6cF8/Ou32QP7+Zl78K9C05vU9etrbyPnWUryaldF1KqSalVNOjR49yQpeq3tKl8O1vw+abw9e/XnQ0kiSpVjmzjgRwPTAlpXR5yaHRQO3MIUOBu0rKT8hnHxkELMy7mNwLHBgR3fJBkAcC9+bHFkXEoPxnnVByLUn1uOQSePppuP562HjjoqORJEm1ylmCfS/geOCZiHgyL/tf4FJgVEScBEwHjs6PjQEOAaYBS4ATAVJK8yPiIuDRvN6FKaX5+fZ3gBuAjsDf8oekeixYkPXNPvpoOPTQoqORJEml6k20U0oTgDXNa71fHfUTcNoarjUCGFFH+WRg5/pikbSyq6+GxYvh3HOLjkSSJK2qnBZtSc3IihUwfHj2ePZZGDwYdt216KgkSdKqnJ9AamF+9zs4/XTo1Al++Uv4wx+KjkiSJNXFFm2pGVu6FM47D2bNgrffhgMOgFtvhZ12gokTIdbUqUuSJBXORFtqhlLKkuyRI+HnP4dttsmS6rvvzo5ffrlJtiRJzZ1dR6RmZsWKbBaRrbaCn/wEdt4Zpk6FKVNg332hY0eXWVfzExEHR8TzETEtIs6p4/hZEfFcRDwdEfdHxFZFxClJTclEW2oi8+fDPffUX++ii+C227KuIi+8kK32GAHt2sGYMVnC3b175eOVyhURbYFrgMHAQODYiBi4SrUngJqU0ieA24CfNW2UktT0TLSlJvLf/53NEHL55Wuuc+aZcMEFWYv1pEnZOccd99HxDTbIWrqlZmYPYFpK6aWU0vvASGBIaYWU0t9TSkvy3YmsvCKwJFUlE22pCbzzDvzpT9lMId//PjzzzOp1HnsMrrgCTj01m1nk4x+Hyy6DDTds+nilBuoNzCzZn5WXrclJuDCZpFbARFtqAnfemS0s89vfZvv33bd6nWuuyRLxn/wE2rZt2vikphIRxwE1wGVrOH5KREyOiMlz5sxp2uAkqZGZaEtN4JZbsi4fRx8N224L48evfHz+/GzavuOPh65di4lRWg+vAn1L9vvkZSuJiP2BHwKHp5SW1nWhlNJ1KaWalFJNjx49KhKsJDUVE22pwt55Bx54AL70JWjTBj73OXj44Wx2kVq33w7vvQennFJcnNJ6eBQYEBFbR0QH4BhgdGmFiPgk8GuyJPvNAmKUpCZnoi1V2AMPZHNif/GL2f7nPw8LFsC//w0vvgj//Gc2y8i227qUulqmlNIy4HTgXmAKMCql9GxEXBgRh+fVLgM2Bv4UEU9GxOg1XE6SqoYL1kgVNmYMbLwx7L13tv+FL2TPl14KDz0Eb76ZLVDzP//jIjRquVJKY4Axq5T9qGR7/yYPSpIKZou2VEEpZas57r9/NjUfQL9+cO65WZ/suXOhf39YvhyOOqrQUCVJUiOzRVuqoH//G2bOhB/9aOXySy7JZhjZcUfYc8+sz/YnP1lMjJIkqTJMtKUKGpN/kX7IISuXR8APf/jR/jHHNF1MkiSpadh1RKqgu+/OBjj26lV0JJIkqamZaEsV8tZb2YwitbONSJKk1sVEW6qQhx/OBjkecEDRkUiSpCKYaEsVMn48dOiQDXaUJEmtj4m2VCHjx2dJ9oYbFh2JJEkqgom2VAGLF8Njj2XLrUuSpNbJRFuqgAkTsv7ZJtqSJLVe9SbaETEiIt6MiH+XlG0aEWMjYmr+3C0vj4i4MiKmRcTTEbFbyTlD8/pTI2JoSfnuEfFMfs6VES5CrZbvN7+Bbt3gs58tOhJJklSUclq0bwAOXqXsHOD+lNIA4P58H2AwMCB/nAIMhywxB84H9gT2AM6vTc7zOieXnLfqz5IKNXMmTJ1af72UsueXX4Y774RvfQs22qiysUmSpOar3pUhU0rjI6L/KsVDgC/k2zcCDwJn5+U3pZQSMDEiukbElnndsSml+QARMRY4OCIeBDqnlCbm5TcBRwB/W5+bkhrLggVZq3QEvPQStFnDf03ffjsb+PjNb2b1IuC005o2VkmS1Lys6xLsPVNKr+fbbwA98+3ewMySerPysrWVz6qjXCrMP/4B3/tellQvWgQzZmTl//znmruCXHklTJmSLau+bFmWcPfp03QxS5Kk5me9B0PmrdepEWKpV0ScEhGTI2LynDlzmuJHqpWZOhWOPBLmzIEePaB7d7j2WujYEW65pe5zFi2Cn/8cPvOZrPtIx45w4YVNG7ckSWp+1rVFe3ZEbJlSej3vGvJmXv4q0LekXp+87FU+6mpSW/5gXt6njvp1SildB1wHUFNT0yTJvVqHH/0IbroJpk/PEuVJk+DjH//o+PjxMGoUXHYZbLzxyueOGJEtt/7LX8Ibb2TzZm++edPGL0mSmp91bdEeDdTOHDIUuKuk/IR89pFBwMK8i8m9wIER0S0fBHkgcG9+bFFEDMpnGzmh5FpSk3j8cbjoIthmm6wLyDPPrJxkAwwbBvPnwyWXrFy+fDlcdRXstRfU1MChh8L++zdd7JIkqfmqt0U7Im4la43uHhGzyGYPuRQYFREnAdOBo/PqY4BDgGnAEuBEgJTS/Ii4CHg0r3dh7cBI4DtkM5t0JBsE6UBIVcycOfDCC7DtttAzH1lw/fVZK/Rtt2VT8tVl0CD4+tfh//4vm02kf/+s/J57ssGPP/lJU0QvSZJakkipZfbAqKmpSZMnTy46DLUAKWUrNb75Juy6a7bdsSOcfXY26HHrreGww+Dmm9d+nZdeylq9r7gia+EGOOIImDgxmwKwffvK34uan4h4LKVUU3Qc1cj3eUnNwfq8z7sypKrOu+/C3Xdnz5C1QnfvDl/6Urb/5z/D4YfDBRfAxz4G77wDp59e/3U/9jEYMADuvTfbnz07+zknnGCSLUmSVmeirRZn4UJ46KGPpt2rtXw5XHNNNq3eoYdmAxyXLcsGKS5fnvW9Pv/8LOG+9Vb48Y+hQ4csWd5zz/J+9kEHwYMPwnvvZYMnly2DE09s9FuUJElVYF1nHZEK89WvwpgxWZI8YUK2MMy772aDFV97LRuMGAHDh8P228OsWTByJHTpAgcckF0jIkvE/9//y7bLddBBcPXV2Qwkl14K++wDO+5YmfuUJEktm4m2WpSxY7Mk+4wzskGMhxwCc+fC5z8P220Hxx2X9ZueMgV22glOPhn69oUvfxna1fFqb0iSDVlivcUWMHRodr0rr2yc+5IkSdXHRFvN1uLFWT/o+fPh9tuzVRlrBy9eemk2oPEnP4H99oNx41Y+d+DArBvJ/Pnwta/VnWSvi06d4LHH4Pvfhz32gJ13bpzrSpKk6mOirWZpxQoYPDjrGlLrpz/Nun/cey9ssAGcdRY88URWXpfvfKcysfXqlfXxliRJWhsTbTU7b7yR9a+eMAHOPDNrwT7iCPjDH7KuIrWLyXTvDn9z1nVJktRMmWirWRk7Npsx5P33s+f/+7+P+lGffXaxsUmSJDWE0/upST31FPz+99kiMpDNFrJiRTbF3j77ZC3XO+wADz+czXfd0MGKkiRJzYUt2moyjz6aTa+3cCFMm5bNCFJTky17/uKL2fzXhx+etWL36lV0tJIkSevHRFvr7P334cYb4emnsxlAOnfOZvt4/30YPx6WLIHNN4cbboA2bbIZRPr0yQY5/vjH2dR4S5dm5+64I/z971nSLUmSVA1MtNVgM2ZkU+Y9+WQ2BV/nzlly/d57H9Xp1ClbUGbBAhgyBDbdNJsK76tfzZLvPfaACy+EX/86K1uxovGm4JMkSWoOTG3UIPPmZasjvv56tvT4oYdm3UEishbsZ5+FDTeEAQOyVux582DLLVe/zplnZovO1PbBbuNoAUmSVGVMtFW2t9/OEuuXX4b77oPPfW7l4xttBJ/61MpldSXZtRzoKEmSqpmJdiuQEjz3XNaNY6+9sgR3xYqsVfrRR2HmTNh9d3j+eZg0CSZOzLqC7LQTPP541jVkyRJ46aXsvNtuWz3JliRJ0spMtKvQihVZl43u3eFf/8qWC584MTu2226w1VbZYMV581Y/t0sX2HPPLDn/17+y7ffey/pcH3lktmDMXns17f1I0v9v795jrKquOI5/FyNDgyDyruDgABXj1CgCMdhUpaXBR1JpQmkwMZJKatDYiPYfjY1pNCa1NjapNbFUTdVotVZjx1aDaH0kRFBQVMAHAxqkQ6EIotLCwLj6x9pTjjiXuTPMfZx7f5/khD3n3rmsxXkt9t3nbBGRPFKhnTPt7XDrrdH7PGxYDM3YsgUmT45pydetgxUr4JNPYqz0vn0wdmw84WPgwHgCyLp18eSPs8+OGxSbmmIq81NPhVNO0XhpERERkf6gQrsK7d4dz5X+4AMYPRrGj4+bDB96CJ56Knqbp0+PAvvZZ2HChJhRsbMTJk2C+fOjYN6yBaZOhXnzYvgHwOLF3f+dEyeWLz8RERGReqBCu58cOBDDM156KXqHZ8yAvXujQD54MIZsDB0az4oeMSJ6lJuaYnhHezs8/niMl960KQrt7oweHZO8LFkSPdhZ7rq5UERERKSa1G2h/cUXMf334MGFC1T36CUeMCCK4ba2KII7OmJxj57g5cvhnnvi5kKIHuYnnoCGhuhZhphivOv9u3fHNORZgwfH2OcFC6KInjwZmpvjM7sekXfuuTH8ozsqskVERESqS24L7fb2GAbR0RE9xY2NsHNnzD64fXv0/p5zDqxZEwXy5s1RjA4ZEo+p27s3PmfMmCh+Ozu/uuzYAbt2RcHc2Vk4FrPoob7zTpg1C0aOjPiOPTbGUUPMgPjZZ/FaRwds3Bjv2bkzYp05M/I43NSp/f5PJyIiIiJlkNtCe9u26DVubIzZCffvj2EYY8fGsn49LFsWPcMtLTB7dhTEn38eBe2QITH194YNUVAPGBAFdXYZPhzGjYvPnjAhJmEZNSr+zsbGKL7ffRdOPz16n7PGjfvyz4MGxdLVPu20WERERESkNuW20J42LXqrC+nsjCdvjBxZ2jimTCnt54uIiIhIPuX2QW49jUluaCh9kS0iIiIiUkjVFNpmdoGZvWdmbWZ2faXjERGR4vV0DjezQWb2aHp9lZk1lz9KEZHyqopC28wagLuAC4EW4BIza6lsVCIiUowiz+GLgN3u/g3gN8Bt5Y1SRKT8qqLQBs4C2tx9s7t3AI8Acysck4iIFKeYc/hc4P7U/gsw20wPJhWR2lYthfZ44KPMz1vTOhERqX7FnMP//x53PwjsAXQnjYjUtFw9dcTMrgCuSD/uN7N1lYynzEYBOysdRJkp59pXC/meVOkAakmdnudr4TgoRr3kCfWTa73keUpff7FaCu1/Ak2Zn09M677E3ZcCSwHMbLW7zyhPeJVXb/mCcq4H9ZZvDSvmHN71nq1mdgwwDPj48A+qx/O88qw99ZJrPeXZ19+tlqEjrwEnm9lEM2sEFgCtFY5JRESKU8w5vBVYmNo/BP7h7l7GGEVEyq4qerTd/aCZXQ0sAxqA+9x9fYXDEhGRIhQ6h5vZzcBqd28F7gUeNLM2YBdRjIuI1LSqKLQB3P1p4Ole/MrSUsVSpeotX1DO9aDe8q1Z3Z3D3f2mTHsfML+XH1sv+4fyrD31kqvy7IHpmzsRERERkf5XLWO0RURERERqStUU2mZ2n5ntyD7KycymmtlKM1trZqvN7Ky03szst2kq37fMbFrmdxaa2ca0LOzu76oWvcx5lpntSevXmtlNmd/JxfT1BfI9w8xeMbO3zewpMzsu89oNKaf3zOz8zPpc5Au9y9nMms3sv5ltfHfmd6an97elfb8qJ/owsyYze8HMNpjZejO7Jq0fYWbL03G53MyGp/U1cSzL0enpmLYamb69iDyvS8fOW2b2vJnl8tGRxZ6jzWyembmZ5fKpFcXkaWY/ypwPHy53jP2liH13Qjr3v5H234sqEefR6O56fdjrBa9XR+TuVbEA5wLTgHWZdc8CF6b2RcCLmfYzgAEzgVVp/Qhgc/pzeGoPr3Ru/ZTzLOBv3XxGA7AJmAQ0Am8CLZXOrRf5vgacl9qXA7ekdkvKZRAwMeXYkKd8+5Bzc/Z9h33Oq2lft7TvX1jp3ArEeQIwLbWHAu+nbfkr4Pq0/nrgttSuiWNZy1HtMz0e08BVwN2pvQB4tNJxlyjP7wCDU/vKWs0zvW8o8DKwEphR6bhLtD1PBt7oOncBYyoddwlzXQpcmdotwIeVjrsPeX7len3Y691er3paqqZH291fJu5E/9JqoKuHcxjQntpzgQc8rASON7MTgPOB5e6+y913A8uBC0offd/0MudCcjN9fYF8pxAnW4jtNS+15wKPuPt+d/8AaCNyzU2+0Oucu5X27ePcfaXH0f4A8IP+jrU/uPs2d389tT8D3iFmBMxOv30/h+KviWNZjkq9TN/eY57u/oK7/yf9uJJ4HnneFHuOvgW4DdhXzuD6UTF5/gS4K53DcPcdZY6xvxSTa29rl6pT4HqdVeh6dURVU2gXsAS43cw+An4N3JDWF5rutxamci+UM8DZZvammT1jZt9M6/Ke83oOHbDzOTTpRS1v40I5A0xMX729ZGbnpHXjiTy75CLn9PX+mcAqYKy7b0sv/QsYm9q1vJ2lOPUyfXtv9+lFRO9Z3vSYZ/rKvcnd/17OwPpZMdtzCjDFzFZYDAnNa2dBMbn+ArjUzLYSTx/6aXlCK6s+XZeqvdC+ErjW3ZuAa4nnsNa6Qjm/Dpzk7mcAdwJPVii+/nY5cJWZrSG+SuyocDzlUCjnbcAEdz8TuA54ODtmPU/MbAjwOLDE3T/NvpZ65fW4I5ECzOxSYAZwe6Vj6W9mNgC4A/hZpWMpg2OI4SOzgEuAP5jZ8RWNqHQuAf7o7icSQyweTNu67lX7P8JC4InUfoz4+gIKT/db1FTuVa7bnN39U3f/PLWfBgaa2ShynrO7v+vuc9x9OvAnYhwY1PA2LpRzGibzcWqvSeunEPllv0Ku6pzNbCBRZD/k7l378vaur9jSn11fodbsdpai9Wb6duwI07dXuaL2aTP7HnAjcLG77y9TbP2ppzyHAqcBL5rZh8RY19Yc3hBZzPbcCrS6+4E0BPJ9ovDOm2JyXQT8GcDdXwG+BowqS3Tl06frUrUX2u3Aean9XWBjarcCl6U7QGcCe9LX0suAOWY2PD3VYE5alyfd5mxmX+8ak2jxJJIBxIUm19PXm9mY9OcA4OdA15M2WoEF6WkDE4mT06vkPF8onLOZjTazhtSeROS8Oe3bn5rZzLQPXAb8tSLB9yDFdy/wjrvfkXkpO/32Qg7FX8vHshSnXqZv7zFPMzsT+D1RZOd1PO8R83T3Pe4+yt2b3b2ZGIt+sbuvrky4fVbMfvsk0ZtN6hibQtzYnTfF5LoFmA1gZqcShfa/yxpl6RW6Xh1ZKe7c7MtC9OxtAw4Q/wtcBHwbWEPc4boKmJ7ea8BdRI/f22TuWCa+lm9Ly48rnVc/5nw1Mbb3TeLE9K3M51xE/E95E3BjpfPqZb7XpNjfB35JmkQpvf/GlNN7ZJ6ykZd8e5szcVPkemAtMVTo+5nPmQGsSzn/LvvvVE1L2n8deCvlsTZtr5HA88R/HJ8DRqT318SxrOWo95uvHNPAzUQBBnHRfiztC68Ckyodc4nyfA7Ynjl2WisdcynyPOy9L5LDp44UuT2NGCazIZ3fFlQ65hLm2gKsIGqUtcCcSsfchxy7u14vBhZntme316sjLZoZUkRERESkBKp96IiIiIiISC6p0BYRERERKQEV2iIiIiIiJaBCW0RERESkBFRoi4iIiIiUgAptEREREZESUKEtIiIiIlICKrRFRERERErgf7SLkceOSZPNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.font_manager import FontProperties\n",
    "import os\n",
    "## 中文显示问题\n",
    "myfont=FontProperties(fname=r\"/home/aistudio/external-libraries/微软雅黑.ttf\",size=12)\n",
    "#创建figure对象以及对象包含的多个子图\n",
    "fig2,axes2=plt.subplots(2,2)\n",
    "fig2.set_size_inches(12,12)\n",
    "fig2.suptitle(\"各国GDP\",fontproperties=myfont)\n",
    "ax1=axes2[0,0]\n",
    "ax1.set_title(\"中国\",fontproperties=myfont)# 给第一个图副值titile\n",
    "#我们单独给第一个图的x轴y轴设置了不同的数值范围\n",
    "ax1.set_xlim([1800,2040])\n",
    "ax1.set_ylim([0,80000])\n",
    "ax1.plot(year,china,color='red',label='GDP' )\n",
    "#加入箭头指示说明文字\n",
    "ax1.annotate('1979年改革开放',xy=(1979,1064),xytext=(1920,10000),arrowprops=dict(facecolor='r',shrink=0.05),fontproperties=myfont)\n",
    "#定义第三个字图\n",
    "ax2=axes2[1,0]\n",
    "ax2.set_title(\"美国\",fontproperties=myfont)\n",
    "ax2.set_xlim([1800,2040])\n",
    "ax2.set_ylim([0,80000])\n",
    "ax2.plot(year,usa,color='blue')\n",
    "# 加入图例\n",
    "ax1.legend()\n",
    "ax2.legend(('the gdp of usa',),loc='right',fontsize=12)\n",
    "fig2.subplots_adjust(left=None,hspace=0.5,wspace=0.3)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f4c47752-1822-4cc9-b5a6-37651f3957c7",
   "metadata": {},
   "source": [
    "### step8 导出图片\n",
    "\n",
    "绘图的最后一步，我们将完成的可视化图像保存导出，附加到报告或者论文之中。\n",
    "\n",
    "这里保存图片涉及一些基本概念，包括分辨率、DPI在。简单来说Matplotlib 中，给定 figsize，dpi 越大，绘制同一个元素时会用到更多像素，所以最后导出的图片会更清晰。此即前面提过的从源头上生成清晰的图片。\n",
    "> 参考：\n",
    "[\"Matplotlib 系列：导出高 DPI 的图片 - 炸鸡人博客.\".](https://zhajiman.github.io/post/matplotlib_dpi/)\n",
    "\n",
    "```python\n",
    "figure.savefig('路径', dpi = 像素值)\n",
    "```\n",
    "保存文件的格式可以有很多，例如jpg，png，pdf等，一般推荐使用png格式\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "48122093-9a3b-4270-8050-bd6e6b96d62b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-11T09:21:47.622058Z",
     "iopub.status.busy": "2022-03-11T09:21:47.621521Z",
     "iopub.status.idle": "2022-03-11T09:21:48.531566Z",
     "shell.execute_reply": "2022-03-11T09:21:48.530973Z",
     "shell.execute_reply.started": "2022-03-11T09:21:47.622012Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages/matplotlib/cbook/__init__.py:2064: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version.  Convert to a numpy array before indexing instead.\n",
      "  x[:, None]\n",
      "/opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages/matplotlib/axes/_base.py:248: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version.  Convert to a numpy array before indexing instead.\n",
      "  x = x[:, np.newaxis]\n",
      "/opt/conda/envs/python35-paddle120-env/lib/python3.7/site-packages/matplotlib/axes/_base.py:250: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version.  Convert to a numpy array before indexing instead.\n",
      "  y = y[:, np.newaxis]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.font_manager import FontProperties\n",
    "## 中文显示问题\n",
    "myfont=FontProperties(fname=r\"/home/aistudio/external-libraries/微软雅黑.ttf\",size=12)\n",
    "#创建figure对象以及对象包含的多个子图\n",
    "fig2,axes2=plt.subplots(2,2)\n",
    "fig2.set_size_inches(12,12)\n",
    "fig2.suptitle(\"各国GDP\",fontproperties=myfont)\n",
    "ax1=axes2[0,0]\n",
    "ax1.set_title(\"中国\",fontproperties=myfont)# 给第一个图副值titile\n",
    "#我们单独给第一个图的x轴y轴设置了不同的数值范围\n",
    "ax1.set_xlim([1800,2040])\n",
    "ax1.set_ylim([0,80000])\n",
    "ax1.plot(year,china,color='red',label='GDP' )\n",
    "#定义第三个字图\n",
    "ax2=axes2[1,0]\n",
    "ax2.set_title(\"美国\",fontproperties=myfont)\n",
    "ax2.set_xlim([1800,2040])\n",
    "ax2.set_ylim([0,80000])\n",
    "ax2.plot(year,usa,color='blue')\n",
    "# 加入图例\n",
    "ax1.legend()\n",
    "ax2.legend(('the gdp of usa',),loc='right',fontsize=12)\n",
    "fig2.subplots_adjust(left=None,hspace=0.5,wspace=0.3)\n",
    "# 导出文件到本地保存\n",
    "gfile='data/gdp.jpeg'\n",
    "if os.path.exists(gfile):\n",
    "    os.remove(gfile)\n",
    "else:\n",
    "    fig2.savefig(gfile)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c53bbd6c-f41e-4a25-ade5-efa5391be86d",
   "metadata": {},
   "source": [
    "## 常用的图像类别\n",
    "了解了Matplotlib画图的步骤以及其对象。就可以针对不同的信息化目标选择不同类型的图像开始作图。\n",
    "![](https://ai-studio-static-online.cdn.bcebos.com/18d77b62f4da4f05b2e5f57dd915f3879f959a958fc14f5d9ebb687cfcae2d44)\n",
    "在此，主要介绍以下几种图像\n",
    "* 柱状图\n",
    "* 面积图\n",
    "* 直方图\n",
    "* 饼图\n",
    "* 散点图\n",
    "* 箱图\n",
    "* 热力图\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c65f0893-929e-4aff-8a9a-7560d193772c",
   "metadata": {},
   "source": [
    "### 时间与类别比较\n",
    "为了比较不同时间事物的发展情况，"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d8085577-aef5-42de-b7d0-45d6612dd2aa",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-13T11:59:59.630821Z",
     "iopub.status.busy": "2022-03-13T11:59:59.629880Z",
     "iopub.status.idle": "2022-03-13T11:59:59.637995Z",
     "shell.execute_reply": "2022-03-13T11:59:59.637372Z",
     "shell.execute_reply.started": "2022-03-13T11:59:59.630789Z"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "data=pd.read_csv(\"data/line_animation.csv\")\n",
    "year=data['time']\n",
    "china=data['china']\n",
    "usa=data['usa']\n",
    "japan=data['japan']\n",
    "russia=data['russia']\n",
    "uk=data['king']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e645d725-44be-4480-b157-1a2664ddc3ef",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-13T12:11:53.062360Z",
     "iopub.status.busy": "2022-03-13T12:11:53.061446Z",
     "iopub.status.idle": "2022-03-13T12:11:53.233988Z",
     "shell.execute_reply": "2022-03-13T12:11:53.233281Z",
     "shell.execute_reply.started": "2022-03-13T12:11:53.062327Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 面积图实现多个数值时间发展的对比\n",
    "from matplotlib.font_manager import FontProperties\n",
    "myfont=FontProperties(fname=r\"/home/aistudio/external-libraries/微软雅黑.ttf\",size=12)\n",
    "fig1,axes1=plt.subplots()\n",
    "axes1.set_xlim(1800,2040)\n",
    "axes1.set_ylim(800,170000)\n",
    "\n",
    "axes1.set_title(\"各国人均GDP发展对比\",fontproperties=myfont)\n",
    "axes1.stackplot(year,china,usa,japan,alpha=0.5)\n",
    "axes1.legend(['china','usa','japan'],loc='upper left')\n",
    "plt.style.use('ggplot')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4ea7fe54-dd19-4759-a731-67ef833ec77d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# 面积图实现多个数值时间发展的对比\n",
    "from matplotlib.font_manager import FontProperties\n",
    "myfont=FontProperties(fname=r\"/home/aistudio/external-libraries/微软雅黑.ttf\",size=12)\n",
    "fig1,axes1=plt.subplots()\n",
    "axes1.set_xlim(1800,2040)\n",
    "axes1.set_ylim(800,170000)\n",
    "\n",
    "axes1.set_title(\"各国人均GDP发展对比\",fontproperties=myfont)\n",
    "axes1.stackplot(year,china,usa,japan,alpha=0.5)\n",
    "axes1.legend(['china','usa','japan'],loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "256f1d2f-9270-422f-a70c-e8e0ea4996b3",
   "metadata": {},
   "source": [
    "### 3d图像\n",
    "一般而言不推荐使用3d图像表达信息，因为可能造成信息失真，但在表达空间向量时，3d图像是非常有用的形式。\n",
    "\n",
    "matplotlib无法直接绘制3d图像，需要先安装 mpl_toolkits包，并导入Axes3D子包\n",
    ">https://matplotlib.org/3.5.1/gallery/mplot3d/surface3d.html\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "90e81787-d3b2-46e9-b3d6-79347cb1c774",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-19T02:49:23.401326Z",
     "iopub.status.busy": "2022-03-19T02:49:23.400860Z",
     "iopub.status.idle": "2022-03-19T02:49:23.621692Z",
     "shell.execute_reply": "2022-03-19T02:49:23.620934Z",
     "shell.execute_reply.started": "2022-03-19T02:49:23.401289Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<mpl_toolkits.mplot3d.art3d.Line3D at 0x7f56596c6490>]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\r\n",
    "from matplotlib import cm\r\n",
    "from matplotlib.ticker import LinearLocator\r\n",
    "from mpl_toolkits.mplot3d import Axes3D# 需要导入该包\r\n",
    "import numpy as np\r\n",
    "fig, ax = plt.subplots(subplot_kw={\"projection\": \"3d\"})\r\n",
    "\r\n",
    "ax.set_xlim(-3,3)\r\n",
    "ax.set_label(\"x lim\")\r\n",
    "ax.set_ylim(-3,3)\r\n",
    "ax.set_zlim(-3,3)\r\n",
    "x=np.array([0,1,2])\r\n",
    "y=np.array([0,1,2])\r\n",
    "z=np.array([0,1,2])\r\n",
    "#ax.scatter(x[0],x[1],x[2])\r\n",
    "ax.plot(x,y,z,color='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "8f82ebc1-fb3e-4b6d-9484-e18b7fcaeae0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-19T02:22:16.130527Z",
     "iopub.status.busy": "2022-03-19T02:22:16.129972Z",
     "iopub.status.idle": "2022-03-19T02:22:16.346092Z",
     "shell.execute_reply": "2022-03-19T02:22:16.345433Z",
     "shell.execute_reply.started": "2022-03-19T02:22:16.130492Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x7f565a1eb150>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "py35-paddle1.2.0"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
